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Finding the Fourth Proportional to 14,318.50, 19,768.17 and 9,359.14

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Solution

The fourth proportional to 14,318.50, 19,768.17 and 9,359.14 is: 12,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.50 : 19,768.17 = 9,359.14 : x
  2. Step 2: Convert to fraction form
    14,318.50/19,768.17 = 9,359.14/x
  3. Step 3: Cross multiply
    14,318.50x = 19,768.17 × 9,359.14
  4. Step 4: Simplify right side
    14,318.50x = 185,013,070.57
  5. Step 5: Solve for x
    x = 185,013,070.57/14,318.50
  6. Step 6: Final answer
    x = 12,921.26

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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.