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Finding the Fourth Proportional to 10,365.60, 15,580.80 and 10,171.20

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Solution

The fourth proportional to 10,365.60, 15,580.80 and 10,171.20 is: 15,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.60 : 15,580.80 = 10,171.20 : x
  2. Step 2: Convert to fraction form
    10,365.60/15,580.80 = 10,171.20/x
  3. Step 3: Cross multiply
    10,365.60x = 15,580.80 × 10,171.20
  4. Step 4: Simplify right side
    10,365.60x = 158,475,432.96
  5. Step 5: Solve for x
    x = 158,475,432.96/10,365.60
  6. Step 6: Final answer
    x = 15,288.59

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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.