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Finding the Fourth Proportional to 13,697.81, 20,549.06 and 4,337.65

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Solution

The fourth proportional to 13,697.81, 20,549.06 and 4,337.65 is: 6,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.81 : 20,549.06 = 4,337.65 : x
  2. Step 2: Convert to fraction form
    13,697.81/20,549.06 = 4,337.65/x
  3. Step 3: Cross multiply
    13,697.81x = 20,549.06 × 4,337.65
  4. Step 4: Simplify right side
    13,697.81x = 89,134,650.37
  5. Step 5: Solve for x
    x = 89,134,650.37/13,697.81
  6. Step 6: Final answer
    x = 6,507.22

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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.