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Finding the Fourth Proportional to 23,641.10, 35,461.65 and 11,952.80

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Solution

The fourth proportional to 23,641.10, 35,461.65 and 11,952.80 is: 17,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.10 : 35,461.65 = 11,952.80 : x
  2. Step 2: Convert to fraction form
    23,641.10/35,461.65 = 11,952.80/x
  3. Step 3: Cross multiply
    23,641.10x = 35,461.65 × 11,952.80
  4. Step 4: Simplify right side
    23,641.10x = 423,866,010.12
  5. Step 5: Solve for x
    x = 423,866,010.12/23,641.10
  6. Step 6: Final answer
    x = 17,929.20

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