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Finding the Fourth Proportional to 12,938.60, 19,370.10 and 9,666.20

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Solution

The fourth proportional to 12,938.60, 19,370.10 and 9,666.20 is: 14,471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.60 : 19,370.10 = 9,666.20 : x
  2. Step 2: Convert to fraction form
    12,938.60/19,370.10 = 9,666.20/x
  3. Step 3: Cross multiply
    12,938.60x = 19,370.10 × 9,666.20
  4. Step 4: Simplify right side
    12,938.60x = 187,235,260.62
  5. Step 5: Solve for x
    x = 187,235,260.62/12,938.60
  6. Step 6: Final answer
    x = 14,471.06

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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.