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Finding the Fourth Proportional to 24,337.88, 36,513.29 and 7,698.21

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Solution

The fourth proportional to 24,337.88, 36,513.29 and 7,698.21 is: 11,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.88 : 36,513.29 = 7,698.21 : x
  2. Step 2: Convert to fraction form
    24,337.88/36,513.29 = 7,698.21/x
  3. Step 3: Cross multiply
    24,337.88x = 36,513.29 × 7,698.21
  4. Step 4: Simplify right side
    24,337.88x = 281,086,993.46
  5. Step 5: Solve for x
    x = 281,086,993.46/24,337.88
  6. Step 6: Final answer
    x = 11,549.36

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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.