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Finding the Fourth Proportional to 24,656.93, 36,981.89 and 8,017.20

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Solution

The fourth proportional to 24,656.93, 36,981.89 and 8,017.20 is: 12,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.93 : 36,981.89 = 8,017.20 : x
  2. Step 2: Convert to fraction form
    24,656.93/36,981.89 = 8,017.20/x
  3. Step 3: Cross multiply
    24,656.93x = 36,981.89 × 8,017.20
  4. Step 4: Simplify right side
    24,656.93x = 296,491,208.51
  5. Step 5: Solve for x
    x = 296,491,208.51/24,656.93
  6. Step 6: Final answer
    x = 12,024.66

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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.