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Finding the Fourth Proportional to 24,042.93, 36,077.30 and 10,012.64

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Solution

The fourth proportional to 24,042.93, 36,077.30 and 10,012.64 is: 15,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,042.93 : 36,077.30 = 10,012.64 : x
  2. Step 2: Convert to fraction form
    24,042.93/36,077.30 = 10,012.64/x
  3. Step 3: Cross multiply
    24,042.93x = 36,077.30 × 10,012.64
  4. Step 4: Simplify right side
    24,042.93x = 361,229,017.07
  5. Step 5: Solve for x
    x = 361,229,017.07/24,042.93
  6. Step 6: Final answer
    x = 15,024.33

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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.