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Finding the Fourth Proportional to 13,117.17, 19,665.02 and 6,101.56

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Solution

The fourth proportional to 13,117.17, 19,665.02 and 6,101.56 is: 9,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.17 : 19,665.02 = 6,101.56 : x
  2. Step 2: Convert to fraction form
    13,117.17/19,665.02 = 6,101.56/x
  3. Step 3: Cross multiply
    13,117.17x = 19,665.02 × 6,101.56
  4. Step 4: Simplify right side
    13,117.17x = 119,987,299.43
  5. Step 5: Solve for x
    x = 119,987,299.43/13,117.17
  6. Step 6: Final answer
    x = 9,147.35

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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.