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Finding the Fourth Proportional to 17,678.74, 24,396.54 and 9,720.76

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Solution

The fourth proportional to 17,678.74, 24,396.54 and 9,720.76 is: 13,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.74 : 24,396.54 = 9,720.76 : x
  2. Step 2: Convert to fraction form
    17,678.74/24,396.54 = 9,720.76/x
  3. Step 3: Cross multiply
    17,678.74x = 24,396.54 × 9,720.76
  4. Step 4: Simplify right side
    17,678.74x = 237,152,910.17
  5. Step 5: Solve for x
    x = 237,152,910.17/17,678.74
  6. Step 6: Final answer
    x = 13,414.58

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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.