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Finding the Fourth Proportional to 14,862.20, 20,509.79 and 8,148.11

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Solution

The fourth proportional to 14,862.20, 20,509.79 and 8,148.11 is: 11,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.20 : 20,509.79 = 8,148.11 : x
  2. Step 2: Convert to fraction form
    14,862.20/20,509.79 = 8,148.11/x
  3. Step 3: Cross multiply
    14,862.20x = 20,509.79 × 8,148.11
  4. Step 4: Simplify right side
    14,862.20x = 167,115,881.71
  5. Step 5: Solve for x
    x = 167,115,881.71/14,862.20
  6. Step 6: Final answer
    x = 11,244.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.