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Finding the Fourth Proportional to 25,666.24, 38,490.72 and 7,193.92

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Solution

The fourth proportional to 25,666.24, 38,490.72 and 7,193.92 is: 10,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.24 : 38,490.72 = 7,193.92 : x
  2. Step 2: Convert to fraction form
    25,666.24/38,490.72 = 7,193.92/x
  3. Step 3: Cross multiply
    25,666.24x = 38,490.72 × 7,193.92
  4. Step 4: Simplify right side
    25,666.24x = 276,899,160.42
  5. Step 5: Solve for x
    x = 276,899,160.42/25,666.24
  6. Step 6: Final answer
    x = 10,788.46

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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.