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Finding the Fourth Proportional to 23,752.80, 32,779.38 and 13,143.18

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Solution

The fourth proportional to 23,752.80, 32,779.38 and 13,143.18 is: 18,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.80 : 32,779.38 = 13,143.18 : x
  2. Step 2: Convert to fraction form
    23,752.80/32,779.38 = 13,143.18/x
  3. Step 3: Cross multiply
    23,752.80x = 32,779.38 × 13,143.18
  4. Step 4: Simplify right side
    23,752.80x = 430,825,291.63
  5. Step 5: Solve for x
    x = 430,825,291.63/23,752.80
  6. Step 6: Final answer
    x = 18,137.87

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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.