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Finding the Fourth Proportional to 19,635.60, 29,434.20 and 10,280.40

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Solution

The fourth proportional to 19,635.60, 29,434.20 and 10,280.40 is: 15,410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.60 : 29,434.20 = 10,280.40 : x
  2. Step 2: Convert to fraction form
    19,635.60/29,434.20 = 10,280.40/x
  3. Step 3: Cross multiply
    19,635.60x = 29,434.20 × 10,280.40
  4. Step 4: Simplify right side
    19,635.60x = 302,595,349.68
  5. Step 5: Solve for x
    x = 302,595,349.68/19,635.60
  6. Step 6: Final answer
    x = 15,410.55

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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.