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Finding the Fourth Proportional to 24,588.42, 33,931.98 and 13,410.42

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Solution

The fourth proportional to 24,588.42, 33,931.98 and 13,410.42 is: 18,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.42 : 33,931.98 = 13,410.42 : x
  2. Step 2: Convert to fraction form
    24,588.42/33,931.98 = 13,410.42/x
  3. Step 3: Cross multiply
    24,588.42x = 33,931.98 × 13,410.42
  4. Step 4: Simplify right side
    24,588.42x = 455,042,103.23
  5. Step 5: Solve for x
    x = 455,042,103.23/24,588.42
  6. Step 6: Final answer
    x = 18,506.36

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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.