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Finding the Fourth Proportional to 13,444.65, 20,148.81 and 5,120.13

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Solution

The fourth proportional to 13,444.65, 20,148.81 and 5,120.13 is: 7,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.65 : 20,148.81 = 5,120.13 : x
  2. Step 2: Convert to fraction form
    13,444.65/20,148.81 = 5,120.13/x
  3. Step 3: Cross multiply
    13,444.65x = 20,148.81 × 5,120.13
  4. Step 4: Simplify right side
    13,444.65x = 103,164,526.55
  5. Step 5: Solve for x
    x = 103,164,526.55/13,444.65
  6. Step 6: Final answer
    x = 7,673.28

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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.