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Finding the Fourth Proportional to 25,294.83, 37,952.10 and 10,500

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Solution

The fourth proportional to 25,294.83, 37,952.10 and 10,500 is: 15,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.83 : 37,952.10 = 10,500 : x
  2. Step 2: Convert to fraction form
    25,294.83/37,952.10 = 10,500/x
  3. Step 3: Cross multiply
    25,294.83x = 37,952.10 × 10,500
  4. Step 4: Simplify right side
    25,294.83x = 398,497,050
  5. Step 5: Solve for x
    x = 398,497,050/25,294.83
  6. Step 6: Final answer
    x = 15,754.09

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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.