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Finding the Fourth Proportional to 17,676.46, 24,392.89 and 9,718.62

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Solution

The fourth proportional to 17,676.46, 24,392.89 and 9,718.62 is: 13,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.46 : 24,392.89 = 9,718.62 : x
  2. Step 2: Convert to fraction form
    17,676.46/24,392.89 = 9,718.62/x
  3. Step 3: Cross multiply
    17,676.46x = 24,392.89 × 9,718.62
  4. Step 4: Simplify right side
    17,676.46x = 237,065,228.61
  5. Step 5: Solve for x
    x = 237,065,228.61/17,676.46
  6. Step 6: Final answer
    x = 13,411.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.