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Finding the Fourth Proportional to 19,472.78, 29,191.65 and 6,989.87

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Solution

The fourth proportional to 19,472.78, 29,191.65 and 6,989.87 is: 10,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472.78 : 29,191.65 = 6,989.87 : x
  2. Step 2: Convert to fraction form
    19,472.78/29,191.65 = 6,989.87/x
  3. Step 3: Cross multiply
    19,472.78x = 29,191.65 × 6,989.87
  4. Step 4: Simplify right side
    19,472.78x = 204,045,838.59
  5. Step 5: Solve for x
    x = 204,045,838.59/19,472.78
  6. Step 6: Final answer
    x = 10,478.52

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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.