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Finding the Fourth Proportional to 16,419.29, 24,624.86 and 6,553.22

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Solution

The fourth proportional to 16,419.29, 24,624.86 and 6,553.22 is: 9,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.29 : 24,624.86 = 6,553.22 : x
  2. Step 2: Convert to fraction form
    16,419.29/24,624.86 = 6,553.22/x
  3. Step 3: Cross multiply
    16,419.29x = 24,624.86 × 6,553.22
  4. Step 4: Simplify right side
    16,419.29x = 161,371,969.16
  5. Step 5: Solve for x
    x = 161,371,969.16/16,419.29
  6. Step 6: Final answer
    x = 9,828.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.