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Finding the Fourth Proportional to 15,407.87, 23,000.34 and 13,539.52

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Solution

The fourth proportional to 15,407.87, 23,000.34 and 13,539.52 is: 20,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.87 : 23,000.34 = 13,539.52 : x
  2. Step 2: Convert to fraction form
    15,407.87/23,000.34 = 13,539.52/x
  3. Step 3: Cross multiply
    15,407.87x = 23,000.34 × 13,539.52
  4. Step 4: Simplify right side
    15,407.87x = 311,413,566.80
  5. Step 5: Solve for x
    x = 311,413,566.80/15,407.87
  6. Step 6: Final answer
    x = 20,211.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.