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Finding the Fourth Proportional to 10,214.80, 15,322.20 and 10,117.60

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Solution

The fourth proportional to 10,214.80, 15,322.20 and 10,117.60 is: 15,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.80 : 15,322.20 = 10,117.60 : x
  2. Step 2: Convert to fraction form
    10,214.80/15,322.20 = 10,117.60/x
  3. Step 3: Cross multiply
    10,214.80x = 15,322.20 × 10,117.60
  4. Step 4: Simplify right side
    10,214.80x = 155,023,890.72
  5. Step 5: Solve for x
    x = 155,023,890.72/10,214.80
  6. Step 6: Final answer
    x = 15,176.40

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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.