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Finding the Fourth Proportional to 25,937.02, 38,882.49 and 9,509.50

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Solution

The fourth proportional to 25,937.02, 38,882.49 and 9,509.50 is: 14,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,937.02 : 38,882.49 = 9,509.50 : x
  2. Step 2: Convert to fraction form
    25,937.02/38,882.49 = 9,509.50/x
  3. Step 3: Cross multiply
    25,937.02x = 38,882.49 × 9,509.50
  4. Step 4: Simplify right side
    25,937.02x = 369,753,038.66
  5. Step 5: Solve for x
    x = 369,753,038.66/25,937.02
  6. Step 6: Final answer
    x = 14,255.80

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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.