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Finding the Fourth Proportional to 25,277.71, 37,889.88 and 9,472.42

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Solution

The fourth proportional to 25,277.71, 37,889.88 and 9,472.42 is: 14,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,277.71 : 37,889.88 = 9,472.42 : x
  2. Step 2: Convert to fraction form
    25,277.71/37,889.88 = 9,472.42/x
  3. Step 3: Cross multiply
    25,277.71x = 37,889.88 × 9,472.42
  4. Step 4: Simplify right side
    25,277.71x = 358,908,857.11
  5. Step 5: Solve for x
    x = 358,908,857.11/25,277.71
  6. Step 6: Final answer
    x = 14,198.63

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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.