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Finding the Fourth Proportional to 15,537.49, 23,289.62 and 6,164.53

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Solution

The fourth proportional to 15,537.49, 23,289.62 and 6,164.53 is: 9,240.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.49 : 23,289.62 = 6,164.53 : x
  2. Step 2: Convert to fraction form
    15,537.49/23,289.62 = 6,164.53/x
  3. Step 3: Cross multiply
    15,537.49x = 23,289.62 × 6,164.53
  4. Step 4: Simplify right side
    15,537.49x = 143,569,472.13
  5. Step 5: Solve for x
    x = 143,569,472.13/15,537.49
  6. Step 6: Final answer
    x = 9,240.20

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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.