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Finding the Fourth Proportional to 17,635.76, 24,337.64 and 9,678.72

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Solution

The fourth proportional to 17,635.76, 24,337.64 and 9,678.72 is: 13,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.76 : 24,337.64 = 9,678.72 : x
  2. Step 2: Convert to fraction form
    17,635.76/24,337.64 = 9,678.72/x
  3. Step 3: Cross multiply
    17,635.76x = 24,337.64 × 9,678.72
  4. Step 4: Simplify right side
    17,635.76x = 235,557,190.92
  5. Step 5: Solve for x
    x = 235,557,190.92/17,635.76
  6. Step 6: Final answer
    x = 13,356.80

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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.