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Finding the Fourth Proportional to 24,080.64, 36,126.36 and 8,498.40

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Solution

The fourth proportional to 24,080.64, 36,126.36 and 8,498.40 is: 12,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,080.64 : 36,126.36 = 8,498.40 : x
  2. Step 2: Convert to fraction form
    24,080.64/36,126.36 = 8,498.40/x
  3. Step 3: Cross multiply
    24,080.64x = 36,126.36 × 8,498.40
  4. Step 4: Simplify right side
    24,080.64x = 307,016,257.82
  5. Step 5: Solve for x
    x = 307,016,257.82/24,080.64
  6. Step 6: Final answer
    x = 12,749.51

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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.