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Finding the Fourth Proportional to 25,267.66, 37,901.22 and 9,685.28

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Solution

The fourth proportional to 25,267.66, 37,901.22 and 9,685.28 is: 14,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,267.66 : 37,901.22 = 9,685.28 : x
  2. Step 2: Convert to fraction form
    25,267.66/37,901.22 = 9,685.28/x
  3. Step 3: Cross multiply
    25,267.66x = 37,901.22 × 9,685.28
  4. Step 4: Simplify right side
    25,267.66x = 367,083,928.04
  5. Step 5: Solve for x
    x = 367,083,928.04/25,267.66
  6. Step 6: Final answer
    x = 14,527.82

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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.