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Finding the Fourth Proportional to 27,109.60, 40,655.76 and 13,960.24

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Solution

The fourth proportional to 27,109.60, 40,655.76 and 13,960.24 is: 20,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.60 : 40,655.76 = 13,960.24 : x
  2. Step 2: Convert to fraction form
    27,109.60/40,655.76 = 13,960.24/x
  3. Step 3: Cross multiply
    27,109.60x = 40,655.76 × 13,960.24
  4. Step 4: Simplify right side
    27,109.60x = 567,564,166.98
  5. Step 5: Solve for x
    x = 567,564,166.98/27,109.60
  6. Step 6: Final answer
    x = 20,935.91

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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.