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Finding the Fourth Proportional to 19,513.60, 29,270.40 and 9,659.80

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Solution

The fourth proportional to 19,513.60, 29,270.40 and 9,659.80 is: 14,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.60 : 29,270.40 = 9,659.80 : x
  2. Step 2: Convert to fraction form
    19,513.60/29,270.40 = 9,659.80/x
  3. Step 3: Cross multiply
    19,513.60x = 29,270.40 × 9,659.80
  4. Step 4: Simplify right side
    19,513.60x = 282,746,209.92
  5. Step 5: Solve for x
    x = 282,746,209.92/19,513.60
  6. Step 6: Final answer
    x = 14,489.70

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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.