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Finding the Fourth Proportional to 24,208.34, 36,302.19 and 9,212.90

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Solution

The fourth proportional to 24,208.34, 36,302.19 and 9,212.90 is: 13,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.34 : 36,302.19 = 9,212.90 : x
  2. Step 2: Convert to fraction form
    24,208.34/36,302.19 = 9,212.90/x
  3. Step 3: Cross multiply
    24,208.34x = 36,302.19 × 9,212.90
  4. Step 4: Simplify right side
    24,208.34x = 334,448,446.25
  5. Step 5: Solve for x
    x = 334,448,446.25/24,208.34
  6. Step 6: Final answer
    x = 13,815.42

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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.