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Finding the Fourth Proportional to 19,641.69, 29,437.02 and 7,948.53

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Solution

The fourth proportional to 19,641.69, 29,437.02 and 7,948.53 is: 11,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.69 : 29,437.02 = 7,948.53 : x
  2. Step 2: Convert to fraction form
    19,641.69/29,437.02 = 7,948.53/x
  3. Step 3: Cross multiply
    19,641.69x = 29,437.02 × 7,948.53
  4. Step 4: Simplify right side
    19,641.69x = 233,981,036.58
  5. Step 5: Solve for x
    x = 233,981,036.58/19,641.69
  6. Step 6: Final answer
    x = 11,912.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.