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Finding the Fourth Proportional to 16,262.18, 24,395.34 and 5,164.91

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Solution

The fourth proportional to 16,262.18, 24,395.34 and 5,164.91 is: 7,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.18 : 24,395.34 = 5,164.91 : x
  2. Step 2: Convert to fraction form
    16,262.18/24,395.34 = 5,164.91/x
  3. Step 3: Cross multiply
    16,262.18x = 24,395.34 × 5,164.91
  4. Step 4: Simplify right side
    16,262.18x = 125,999,735.52
  5. Step 5: Solve for x
    x = 125,999,735.52/16,262.18
  6. Step 6: Final answer
    x = 7,748.02

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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.