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Finding the Fourth Proportional to 13,697.24, 20,549.10 and 5,901.80

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Solution

The fourth proportional to 13,697.24, 20,549.10 and 5,901.80 is: 8,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.24 : 20,549.10 = 5,901.80 : x
  2. Step 2: Convert to fraction form
    13,697.24/20,549.10 = 5,901.80/x
  3. Step 3: Cross multiply
    13,697.24x = 20,549.10 × 5,901.80
  4. Step 4: Simplify right side
    13,697.24x = 121,276,678.38
  5. Step 5: Solve for x
    x = 121,276,678.38/13,697.24
  6. Step 6: Final answer
    x = 8,854.10

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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.