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Finding the Fourth Proportional to 22,364.10, 30,855.69 and 12,931.38

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Solution

The fourth proportional to 22,364.10, 30,855.69 and 12,931.38 is: 17,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.10 : 30,855.69 = 12,931.38 : x
  2. Step 2: Convert to fraction form
    22,364.10/30,855.69 = 12,931.38/x
  3. Step 3: Cross multiply
    22,364.10x = 30,855.69 × 12,931.38
  4. Step 4: Simplify right side
    22,364.10x = 399,006,652.55
  5. Step 5: Solve for x
    x = 399,006,652.55/22,364.10
  6. Step 6: Final answer
    x = 17,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.