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Finding the Fourth Proportional to 12,930.70, 19,432.38 and 7,666.46

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Solution

The fourth proportional to 12,930.70, 19,432.38 and 7,666.46 is: 11,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.70 : 19,432.38 = 7,666.46 : x
  2. Step 2: Convert to fraction form
    12,930.70/19,432.38 = 7,666.46/x
  3. Step 3: Cross multiply
    12,930.70x = 19,432.38 × 7,666.46
  4. Step 4: Simplify right side
    12,930.70x = 148,977,563.97
  5. Step 5: Solve for x
    x = 148,977,563.97/12,930.70
  6. Step 6: Final answer
    x = 11,521.23

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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.