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Finding the Fourth Proportional to 22,950, 31,666.12 and 13,515.12

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Solution

The fourth proportional to 22,950, 31,666.12 and 13,515.12 is: 18,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950 : 31,666.12 = 13,515.12 : x
  2. Step 2: Convert to fraction form
    22,950/31,666.12 = 13,515.12/x
  3. Step 3: Cross multiply
    22,950x = 31,666.12 × 13,515.12
  4. Step 4: Simplify right side
    22,950x = 427,971,411.73
  5. Step 5: Solve for x
    x = 427,971,411.73/22,950
  6. Step 6: Final answer
    x = 18,647.99

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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.