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Finding the Fourth Proportional to 16,347.71, 22,572.51 and 12,564.83

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Solution

The fourth proportional to 16,347.71, 22,572.51 and 12,564.83 is: 17,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.71 : 22,572.51 = 12,564.83 : x
  2. Step 2: Convert to fraction form
    16,347.71/22,572.51 = 12,564.83/x
  3. Step 3: Cross multiply
    16,347.71x = 22,572.51 × 12,564.83
  4. Step 4: Simplify right side
    16,347.71x = 283,619,750.82
  5. Step 5: Solve for x
    x = 283,619,750.82/16,347.71
  6. Step 6: Final answer
    x = 17,349.20

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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.