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Finding the Fourth Proportional to 24,397.61, 36,570.49 and 9,604.49

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Solution

The fourth proportional to 24,397.61, 36,570.49 and 9,604.49 is: 14,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.61 : 36,570.49 = 9,604.49 : x
  2. Step 2: Convert to fraction form
    24,397.61/36,570.49 = 9,604.49/x
  3. Step 3: Cross multiply
    24,397.61x = 36,570.49 × 9,604.49
  4. Step 4: Simplify right side
    24,397.61x = 351,240,698.64
  5. Step 5: Solve for x
    x = 351,240,698.64/24,397.61
  6. Step 6: Final answer
    x = 14,396.52

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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.