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Finding the Fourth Proportional to 24,042.25, 36,058.92 and 6,509.80

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Solution

The fourth proportional to 24,042.25, 36,058.92 and 6,509.80 is: 9,763.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,042.25 : 36,058.92 = 6,509.80 : x
  2. Step 2: Convert to fraction form
    24,042.25/36,058.92 = 6,509.80/x
  3. Step 3: Cross multiply
    24,042.25x = 36,058.92 × 6,509.80
  4. Step 4: Simplify right side
    24,042.25x = 234,736,357.42
  5. Step 5: Solve for x
    x = 234,736,357.42/24,042.25
  6. Step 6: Final answer
    x = 9,763.49

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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.