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Finding the Fourth Proportional to 22,825.46, 34,240.93 and 9,676.13

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Solution

The fourth proportional to 22,825.46, 34,240.93 and 9,676.13 is: 14,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.46 : 34,240.93 = 9,676.13 : x
  2. Step 2: Convert to fraction form
    22,825.46/34,240.93 = 9,676.13/x
  3. Step 3: Cross multiply
    22,825.46x = 34,240.93 × 9,676.13
  4. Step 4: Simplify right side
    22,825.46x = 331,319,494.61
  5. Step 5: Solve for x
    x = 331,319,494.61/22,825.46
  6. Step 6: Final answer
    x = 14,515.35

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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.