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Finding the Fourth Proportional to 15,709.40, 23,564.40 and 12,574.85

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Solution

The fourth proportional to 15,709.40, 23,564.40 and 12,574.85 is: 18,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.40 : 23,564.40 = 12,574.85 : x
  2. Step 2: Convert to fraction form
    15,709.40/23,564.40 = 12,574.85/x
  3. Step 3: Cross multiply
    15,709.40x = 23,564.40 × 12,574.85
  4. Step 4: Simplify right side
    15,709.40x = 296,318,732.47
  5. Step 5: Solve for x
    x = 296,318,732.47/15,709.40
  6. Step 6: Final answer
    x = 18,862.52

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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.