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Finding the Fourth Proportional to 23,813.71, 32,871.42 and 16,254.62

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Solution

The fourth proportional to 23,813.71, 32,871.42 and 16,254.62 is: 22,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.71 : 32,871.42 = 16,254.62 : x
  2. Step 2: Convert to fraction form
    23,813.71/32,871.42 = 16,254.62/x
  3. Step 3: Cross multiply
    23,813.71x = 32,871.42 × 16,254.62
  4. Step 4: Simplify right side
    23,813.71x = 534,312,440.96
  5. Step 5: Solve for x
    x = 534,312,440.96/23,813.71
  6. Step 6: Final answer
    x = 22,437.18

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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.