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Finding the Fourth Proportional to 24,587.50, 33,931.02 and 13,409.50

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Solution

The fourth proportional to 24,587.50, 33,931.02 and 13,409.50 is: 18,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,587.50 : 33,931.02 = 13,409.50 : x
  2. Step 2: Convert to fraction form
    24,587.50/33,931.02 = 13,409.50/x
  3. Step 3: Cross multiply
    24,587.50x = 33,931.02 × 13,409.50
  4. Step 4: Simplify right side
    24,587.50x = 454,998,012.69
  5. Step 5: Solve for x
    x = 454,998,012.69/24,587.50
  6. Step 6: Final answer
    x = 18,505.26

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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.