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Finding the Fourth Proportional to 16,402.13, 22,610.71 and 11,607.17

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Solution

The fourth proportional to 16,402.13, 22,610.71 and 11,607.17 is: 16,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.13 : 22,610.71 = 11,607.17 : x
  2. Step 2: Convert to fraction form
    16,402.13/22,610.71 = 11,607.17/x
  3. Step 3: Cross multiply
    16,402.13x = 22,610.71 × 11,607.17
  4. Step 4: Simplify right side
    16,402.13x = 262,446,256.25
  5. Step 5: Solve for x
    x = 262,446,256.25/16,402.13
  6. Step 6: Final answer
    x = 16,000.74

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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.