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Finding the Fourth Proportional to 15,638.53, 23,461.47 and 4,545.46

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Solution

The fourth proportional to 15,638.53, 23,461.47 and 4,545.46 is: 6,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.53 : 23,461.47 = 4,545.46 : x
  2. Step 2: Convert to fraction form
    15,638.53/23,461.47 = 4,545.46/x
  3. Step 3: Cross multiply
    15,638.53x = 23,461.47 × 4,545.46
  4. Step 4: Simplify right side
    15,638.53x = 106,643,173.43
  5. Step 5: Solve for x
    x = 106,643,173.43/15,638.53
  6. Step 6: Final answer
    x = 6,819.26

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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.