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Finding the Fourth Proportional to 16,223.16, 24,336.91 and 7,902.08

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Solution

The fourth proportional to 16,223.16, 24,336.91 and 7,902.08 is: 11,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.16 : 24,336.91 = 7,902.08 : x
  2. Step 2: Convert to fraction form
    16,223.16/24,336.91 = 7,902.08/x
  3. Step 3: Cross multiply
    16,223.16x = 24,336.91 × 7,902.08
  4. Step 4: Simplify right side
    16,223.16x = 192,312,213.23
  5. Step 5: Solve for x
    x = 192,312,213.23/16,223.16
  6. Step 6: Final answer
    x = 11,854.18

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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.