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Finding the Fourth Proportional to 19,709.60, 29,564.40 and 8,031.20

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Solution

The fourth proportional to 19,709.60, 29,564.40 and 8,031.20 is: 12,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.60 : 29,564.40 = 8,031.20 : x
  2. Step 2: Convert to fraction form
    19,709.60/29,564.40 = 8,031.20/x
  3. Step 3: Cross multiply
    19,709.60x = 29,564.40 × 8,031.20
  4. Step 4: Simplify right side
    19,709.60x = 237,437,609.28
  5. Step 5: Solve for x
    x = 237,437,609.28/19,709.60
  6. Step 6: Final answer
    x = 12,046.80

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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.