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Finding the Fourth Proportional to 16,019.71, 22,113.51 and 10,567.90

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Solution

The fourth proportional to 16,019.71, 22,113.51 and 10,567.90 is: 14,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.71 : 22,113.51 = 10,567.90 : x
  2. Step 2: Convert to fraction form
    16,019.71/22,113.51 = 10,567.90/x
  3. Step 3: Cross multiply
    16,019.71x = 22,113.51 × 10,567.90
  4. Step 4: Simplify right side
    16,019.71x = 233,693,350.34
  5. Step 5: Solve for x
    x = 233,693,350.34/16,019.71
  6. Step 6: Final answer
    x = 14,587.87

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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.