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Finding the Fourth Proportional to 25,315.92, 37,973.85 and 9,722.61

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Solution

The fourth proportional to 25,315.92, 37,973.85 and 9,722.61 is: 14,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,315.92 : 37,973.85 = 9,722.61 : x
  2. Step 2: Convert to fraction form
    25,315.92/37,973.85 = 9,722.61/x
  3. Step 3: Cross multiply
    25,315.92x = 37,973.85 × 9,722.61
  4. Step 4: Simplify right side
    25,315.92x = 369,204,933.75
  5. Step 5: Solve for x
    x = 369,204,933.75/25,315.92
  6. Step 6: Final answer
    x = 14,583.90

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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.