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Finding the Fourth Proportional to 17,959.52, 24,780.38 and 10,405.40

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Solution

The fourth proportional to 17,959.52, 24,780.38 and 10,405.40 is: 14,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,959.52 : 24,780.38 = 10,405.40 : x
  2. Step 2: Convert to fraction form
    17,959.52/24,780.38 = 10,405.40/x
  3. Step 3: Cross multiply
    17,959.52x = 24,780.38 × 10,405.40
  4. Step 4: Simplify right side
    17,959.52x = 257,849,766.05
  5. Step 5: Solve for x
    x = 257,849,766.05/17,959.52
  6. Step 6: Final answer
    x = 14,357.27

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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.