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Finding the Fourth Proportional to 13,461.52, 20,178.06 and 5,136.16

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Solution

The fourth proportional to 13,461.52, 20,178.06 and 5,136.16 is: 7,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.52 : 20,178.06 = 5,136.16 : x
  2. Step 2: Convert to fraction form
    13,461.52/20,178.06 = 5,136.16/x
  3. Step 3: Cross multiply
    13,461.52x = 20,178.06 × 5,136.16
  4. Step 4: Simplify right side
    13,461.52x = 103,637,744.65
  5. Step 5: Solve for x
    x = 103,637,744.65/13,461.52
  6. Step 6: Final answer
    x = 7,698.81

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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.