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Finding the Fourth Proportional to 24,202.32, 36,294.08 and 9,409.28

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Solution

The fourth proportional to 24,202.32, 36,294.08 and 9,409.28 is: 14,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,202.32 : 36,294.08 = 9,409.28 : x
  2. Step 2: Convert to fraction form
    24,202.32/36,294.08 = 9,409.28/x
  3. Step 3: Cross multiply
    24,202.32x = 36,294.08 × 9,409.28
  4. Step 4: Simplify right side
    24,202.32x = 341,501,161.06
  5. Step 5: Solve for x
    x = 341,501,161.06/24,202.32
  6. Step 6: Final answer
    x = 14,110.27

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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.