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Finding the Fourth Proportional to 15,538.53, 23,302.65 and 6,180.87

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Solution

The fourth proportional to 15,538.53, 23,302.65 and 6,180.87 is: 9,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.53 : 23,302.65 = 6,180.87 : x
  2. Step 2: Convert to fraction form
    15,538.53/23,302.65 = 6,180.87/x
  3. Step 3: Cross multiply
    15,538.53x = 23,302.65 × 6,180.87
  4. Step 4: Simplify right side
    15,538.53x = 144,030,650.31
  5. Step 5: Solve for x
    x = 144,030,650.31/15,538.53
  6. Step 6: Final answer
    x = 9,269.26

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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.