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Finding the Fourth Proportional to 16,497.44, 24,752.64 and 6,110

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Solution

The fourth proportional to 16,497.44, 24,752.64 and 6,110 is: 9,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.44 : 24,752.64 = 6,110 : x
  2. Step 2: Convert to fraction form
    16,497.44/24,752.64 = 6,110/x
  3. Step 3: Cross multiply
    16,497.44x = 24,752.64 × 6,110
  4. Step 4: Simplify right side
    16,497.44x = 151,238,630.40
  5. Step 5: Solve for x
    x = 151,238,630.40/16,497.44
  6. Step 6: Final answer
    x = 9,167.40

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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.