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Finding the Fourth Proportional to 15,945.16, 23,913.42 and 6,709

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Solution

The fourth proportional to 15,945.16, 23,913.42 and 6,709 is: 10,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945.16 : 23,913.42 = 6,709 : x
  2. Step 2: Convert to fraction form
    15,945.16/23,913.42 = 6,709/x
  3. Step 3: Cross multiply
    15,945.16x = 23,913.42 × 6,709
  4. Step 4: Simplify right side
    15,945.16x = 160,435,134.78
  5. Step 5: Solve for x
    x = 160,435,134.78/15,945.16
  6. Step 6: Final answer
    x = 10,061.68

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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.