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Finding the Fourth Proportional to 12,509.20, 18,763.80 and 5,114.71

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Solution

The fourth proportional to 12,509.20, 18,763.80 and 5,114.71 is: 7,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.20 : 18,763.80 = 5,114.71 : x
  2. Step 2: Convert to fraction form
    12,509.20/18,763.80 = 5,114.71/x
  3. Step 3: Cross multiply
    12,509.20x = 18,763.80 × 5,114.71
  4. Step 4: Simplify right side
    12,509.20x = 95,971,395.50
  5. Step 5: Solve for x
    x = 95,971,395.50/12,509.20
  6. Step 6: Final answer
    x = 7,672.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.