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Finding the Fourth Proportional to 24,189.66, 36,275.16 and 9,396.63

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Solution

The fourth proportional to 24,189.66, 36,275.16 and 9,396.63 is: 14,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.66 : 36,275.16 = 9,396.63 : x
  2. Step 2: Convert to fraction form
    24,189.66/36,275.16 = 9,396.63/x
  3. Step 3: Cross multiply
    24,189.66x = 36,275.16 × 9,396.63
  4. Step 4: Simplify right side
    24,189.66x = 340,864,256.71
  5. Step 5: Solve for x
    x = 340,864,256.71/24,189.66
  6. Step 6: Final answer
    x = 14,091.32

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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.