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Finding the Fourth Proportional to 16,342.12, 24,505.98 and 4,652.68

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Solution

The fourth proportional to 16,342.12, 24,505.98 and 4,652.68 is: 6,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.12 : 24,505.98 = 4,652.68 : x
  2. Step 2: Convert to fraction form
    16,342.12/24,505.98 = 4,652.68/x
  3. Step 3: Cross multiply
    16,342.12x = 24,505.98 × 4,652.68
  4. Step 4: Simplify right side
    16,342.12x = 114,018,483.03
  5. Step 5: Solve for x
    x = 114,018,483.03/16,342.12
  6. Step 6: Final answer
    x = 6,976.97

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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.