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Finding the Fourth Proportional to 23,689.71, 32,661.68 and 16,776

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Solution

The fourth proportional to 23,689.71, 32,661.68 and 16,776 is: 23,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.71 : 32,661.68 = 16,776 : x
  2. Step 2: Convert to fraction form
    23,689.71/32,661.68 = 16,776/x
  3. Step 3: Cross multiply
    23,689.71x = 32,661.68 × 16,776
  4. Step 4: Simplify right side
    23,689.71x = 547,932,259.80
  5. Step 5: Solve for x
    x = 547,932,259.80/23,689.71
  6. Step 6: Final answer
    x = 23,129.55

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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.