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Finding the Fourth Proportional to 23,731.04, 35,605.04 and 10,582.24

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Solution

The fourth proportional to 23,731.04, 35,605.04 and 10,582.24 is: 15,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.04 : 35,605.04 = 10,582.24 : x
  2. Step 2: Convert to fraction form
    23,731.04/35,605.04 = 10,582.24/x
  3. Step 3: Cross multiply
    23,731.04x = 35,605.04 × 10,582.24
  4. Step 4: Simplify right side
    23,731.04x = 376,781,078.49
  5. Step 5: Solve for x
    x = 376,781,078.49/23,731.04
  6. Step 6: Final answer
    x = 15,877.14

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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.