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Finding the Fourth Proportional to 24,588.25, 33,931.97 and 13,410.25

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Solution

The fourth proportional to 24,588.25, 33,931.97 and 13,410.25 is: 18,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.25 : 33,931.97 = 13,410.25 : x
  2. Step 2: Convert to fraction form
    24,588.25/33,931.97 = 13,410.25/x
  3. Step 3: Cross multiply
    24,588.25x = 33,931.97 × 13,410.25
  4. Step 4: Simplify right side
    24,588.25x = 455,036,200.69
  5. Step 5: Solve for x
    x = 455,036,200.69/24,588.25
  6. Step 6: Final answer
    x = 18,506.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.