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Finding the Fourth Proportional to 23,841.63, 35,780.31 and 8,862.57

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Solution

The fourth proportional to 23,841.63, 35,780.31 and 8,862.57 is: 13,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.63 : 35,780.31 = 8,862.57 : x
  2. Step 2: Convert to fraction form
    23,841.63/35,780.31 = 8,862.57/x
  3. Step 3: Cross multiply
    23,841.63x = 35,780.31 × 8,862.57
  4. Step 4: Simplify right side
    23,841.63x = 317,105,502.00
  5. Step 5: Solve for x
    x = 317,105,502.00/23,841.63
  6. Step 6: Final answer
    x = 13,300.50

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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.