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Finding the Fourth Proportional to 27,141.60, 40,719.60 and 9,609.60

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Solution

The fourth proportional to 27,141.60, 40,719.60 and 9,609.60 is: 14,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.60 : 40,719.60 = 9,609.60 : x
  2. Step 2: Convert to fraction form
    27,141.60/40,719.60 = 9,609.60/x
  3. Step 3: Cross multiply
    27,141.60x = 40,719.60 × 9,609.60
  4. Step 4: Simplify right side
    27,141.60x = 391,299,068.16
  5. Step 5: Solve for x
    x = 391,299,068.16/27,141.60
  6. Step 6: Final answer
    x = 14,416.95

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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.