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Finding the Fourth Proportional to 24,293.90, 36,441.76 and 8,495.84

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Solution

The fourth proportional to 24,293.90, 36,441.76 and 8,495.84 is: 12,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293.90 : 36,441.76 = 8,495.84 : x
  2. Step 2: Convert to fraction form
    24,293.90/36,441.76 = 8,495.84/x
  3. Step 3: Cross multiply
    24,293.90x = 36,441.76 × 8,495.84
  4. Step 4: Simplify right side
    24,293.90x = 309,603,362.28
  5. Step 5: Solve for x
    x = 309,603,362.28/24,293.90
  6. Step 6: Final answer
    x = 12,744.08

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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.