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Finding the Fourth Proportional to 13,478.76, 18,585.64 and 11,588.20

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Solution

The fourth proportional to 13,478.76, 18,585.64 and 11,588.20 is: 15,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.76 : 18,585.64 = 11,588.20 : x
  2. Step 2: Convert to fraction form
    13,478.76/18,585.64 = 11,588.20/x
  3. Step 3: Cross multiply
    13,478.76x = 18,585.64 × 11,588.20
  4. Step 4: Simplify right side
    13,478.76x = 215,374,113.45
  5. Step 5: Solve for x
    x = 215,374,113.45/13,478.76
  6. Step 6: Final answer
    x = 15,978.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.