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Finding the Fourth Proportional to 17,680.76, 24,398.82 and 9,722.93

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Solution

The fourth proportional to 17,680.76, 24,398.82 and 9,722.93 is: 13,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.76 : 24,398.82 = 9,722.93 : x
  2. Step 2: Convert to fraction form
    17,680.76/24,398.82 = 9,722.93/x
  3. Step 3: Cross multiply
    17,680.76x = 24,398.82 × 9,722.93
  4. Step 4: Simplify right side
    17,680.76x = 237,228,018.94
  5. Step 5: Solve for x
    x = 237,228,018.94/17,680.76
  6. Step 6: Final answer
    x = 13,417.30

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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.