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Finding the Fourth Proportional to 13,077.60, 19,587.60 and 10,132.80

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Solution

The fourth proportional to 13,077.60, 19,587.60 and 10,132.80 is: 15,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.60 : 19,587.60 = 10,132.80 : x
  2. Step 2: Convert to fraction form
    13,077.60/19,587.60 = 10,132.80/x
  3. Step 3: Cross multiply
    13,077.60x = 19,587.60 × 10,132.80
  4. Step 4: Simplify right side
    13,077.60x = 198,477,233.28
  5. Step 5: Solve for x
    x = 198,477,233.28/13,077.60
  6. Step 6: Final answer
    x = 15,176.89

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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.