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Finding the Fourth Proportional to 12,882.90, 19,320.30 and 7,945.14

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Solution

The fourth proportional to 12,882.90, 19,320.30 and 7,945.14 is: 11,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.90 : 19,320.30 = 7,945.14 : x
  2. Step 2: Convert to fraction form
    12,882.90/19,320.30 = 7,945.14/x
  3. Step 3: Cross multiply
    12,882.90x = 19,320.30 × 7,945.14
  4. Step 4: Simplify right side
    12,882.90x = 153,502,488.34
  5. Step 5: Solve for x
    x = 153,502,488.34/12,882.90
  6. Step 6: Final answer
    x = 11,915.21

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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.