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Finding the Fourth Proportional to 29,685.74, 40,966.18 and 16,256.95

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Solution

The fourth proportional to 29,685.74, 40,966.18 and 16,256.95 is: 22,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.74 : 40,966.18 = 16,256.95 : x
  2. Step 2: Convert to fraction form
    29,685.74/40,966.18 = 16,256.95/x
  3. Step 3: Cross multiply
    29,685.74x = 40,966.18 × 16,256.95
  4. Step 4: Simplify right side
    29,685.74x = 665,985,139.95
  5. Step 5: Solve for x
    x = 665,985,139.95/29,685.74
  6. Step 6: Final answer
    x = 22,434.51

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