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Finding the Fourth Proportional to 24,062.88, 36,097.29 and 8,271.12

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Solution

The fourth proportional to 24,062.88, 36,097.29 and 8,271.12 is: 12,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,062.88 : 36,097.29 = 8,271.12 : x
  2. Step 2: Convert to fraction form
    24,062.88/36,097.29 = 8,271.12/x
  3. Step 3: Cross multiply
    24,062.88x = 36,097.29 × 8,271.12
  4. Step 4: Simplify right side
    24,062.88x = 298,565,017.26
  5. Step 5: Solve for x
    x = 298,565,017.26/24,062.88
  6. Step 6: Final answer
    x = 12,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.