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Finding the Fourth Proportional to 16,578.96, 24,859.80 and 6,182.16

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Solution

The fourth proportional to 16,578.96, 24,859.80 and 6,182.16 is: 9,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.96 : 24,859.80 = 6,182.16 : x
  2. Step 2: Convert to fraction form
    16,578.96/24,859.80 = 6,182.16/x
  3. Step 3: Cross multiply
    16,578.96x = 24,859.80 × 6,182.16
  4. Step 4: Simplify right side
    16,578.96x = 153,687,261.17
  5. Step 5: Solve for x
    x = 153,687,261.17/16,578.96
  6. Step 6: Final answer
    x = 9,270.02

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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.