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Finding the Fourth Proportional to 16,208.16, 24,314.96 and 7,443.84

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Solution

The fourth proportional to 16,208.16, 24,314.96 and 7,443.84 is: 11,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.16 : 24,314.96 = 7,443.84 : x
  2. Step 2: Convert to fraction form
    16,208.16/24,314.96 = 7,443.84/x
  3. Step 3: Cross multiply
    16,208.16x = 24,314.96 × 7,443.84
  4. Step 4: Simplify right side
    16,208.16x = 180,996,671.85
  5. Step 5: Solve for x
    x = 180,996,671.85/16,208.16
  6. Step 6: Final answer
    x = 11,167.01

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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.