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Finding the Fourth Proportional to 13,155.76, 19,737 and 10,819.60

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Solution

The fourth proportional to 13,155.76, 19,737 and 10,819.60 is: 16,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155.76 : 19,737 = 10,819.60 : x
  2. Step 2: Convert to fraction form
    13,155.76/19,737 = 10,819.60/x
  3. Step 3: Cross multiply
    13,155.76x = 19,737 × 10,819.60
  4. Step 4: Simplify right side
    13,155.76x = 213,546,445.20
  5. Step 5: Solve for x
    x = 213,546,445.20/13,155.76
  6. Step 6: Final answer
    x = 16,232.16

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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.