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Finding the Fourth Proportional to 12,312.24, 16,988.22 and 7,834.38

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Solution

The fourth proportional to 12,312.24, 16,988.22 and 7,834.38 is: 10,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.24 : 16,988.22 = 7,834.38 : x
  2. Step 2: Convert to fraction form
    12,312.24/16,988.22 = 7,834.38/x
  3. Step 3: Cross multiply
    12,312.24x = 16,988.22 × 7,834.38
  4. Step 4: Simplify right side
    12,312.24x = 133,092,171.00
  5. Step 5: Solve for x
    x = 133,092,171.00/12,312.24
  6. Step 6: Final answer
    x = 10,809.74

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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.