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Finding the Fourth Proportional to 16,191.17, 22,345.42 and 9,476.40

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Solution

The fourth proportional to 16,191.17, 22,345.42 and 9,476.40 is: 13,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.17 : 22,345.42 = 9,476.40 : x
  2. Step 2: Convert to fraction form
    16,191.17/22,345.42 = 9,476.40/x
  3. Step 3: Cross multiply
    16,191.17x = 22,345.42 × 9,476.40
  4. Step 4: Simplify right side
    16,191.17x = 211,754,138.09
  5. Step 5: Solve for x
    x = 211,754,138.09/16,191.17
  6. Step 6: Final answer
    x = 13,078.37

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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.