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Finding the Fourth Proportional to 16,234.78, 24,352.40 and 4,547.26

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Solution

The fourth proportional to 16,234.78, 24,352.40 and 4,547.26 is: 6,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.78 : 24,352.40 = 4,547.26 : x
  2. Step 2: Convert to fraction form
    16,234.78/24,352.40 = 4,547.26/x
  3. Step 3: Cross multiply
    16,234.78x = 24,352.40 × 4,547.26
  4. Step 4: Simplify right side
    16,234.78x = 110,736,584.03
  5. Step 5: Solve for x
    x = 110,736,584.03/16,234.78
  6. Step 6: Final answer
    x = 6,820.95

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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.