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Finding the Fourth Proportional to 16,223.16, 24,344.34 and 6,862.66

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Solution

The fourth proportional to 16,223.16, 24,344.34 and 6,862.66 is: 10,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.16 : 24,344.34 = 6,862.66 : x
  2. Step 2: Convert to fraction form
    16,223.16/24,344.34 = 6,862.66/x
  3. Step 3: Cross multiply
    16,223.16x = 24,344.34 × 6,862.66
  4. Step 4: Simplify right side
    16,223.16x = 167,066,928.34
  5. Step 5: Solve for x
    x = 167,066,928.34/16,223.16
  6. Step 6: Final answer
    x = 10,298.05

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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.