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Finding the Fourth Proportional to 10,841.60, 16,242.96 and 10,258.40

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Solution

The fourth proportional to 10,841.60, 16,242.96 and 10,258.40 is: 15,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.60 : 16,242.96 = 10,258.40 : x
  2. Step 2: Convert to fraction form
    10,841.60/16,242.96 = 10,258.40/x
  3. Step 3: Cross multiply
    10,841.60x = 16,242.96 × 10,258.40
  4. Step 4: Simplify right side
    10,841.60x = 166,626,780.86
  5. Step 5: Solve for x
    x = 166,626,780.86/10,841.60
  6. Step 6: Final answer
    x = 15,369.21

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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.