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Finding the Fourth Proportional to 24,289.60, 36,445.74 and 9,494.68

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Solution

The fourth proportional to 24,289.60, 36,445.74 and 9,494.68 is: 14,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.60 : 36,445.74 = 9,494.68 : x
  2. Step 2: Convert to fraction form
    24,289.60/36,445.74 = 9,494.68/x
  3. Step 3: Cross multiply
    24,289.60x = 36,445.74 × 9,494.68
  4. Step 4: Simplify right side
    24,289.60x = 346,040,638.66
  5. Step 5: Solve for x
    x = 346,040,638.66/24,289.60
  6. Step 6: Final answer
    x = 14,246.45

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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.