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Finding the Fourth Proportional to 12,097.70, 16,695.29 and 7,061.12

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Solution

The fourth proportional to 12,097.70, 16,695.29 and 7,061.12 is: 9,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.70 : 16,695.29 = 7,061.12 : x
  2. Step 2: Convert to fraction form
    12,097.70/16,695.29 = 7,061.12/x
  3. Step 3: Cross multiply
    12,097.70x = 16,695.29 × 7,061.12
  4. Step 4: Simplify right side
    12,097.70x = 117,887,446.12
  5. Step 5: Solve for x
    x = 117,887,446.12/12,097.70
  6. Step 6: Final answer
    x = 9,744.62

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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.