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Finding the Fourth Proportional to 19,250.16, 26,567.43 and 10,866

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Solution

The fourth proportional to 19,250.16, 26,567.43 and 10,866 is: 14,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,250.16 : 26,567.43 = 10,866 : x
  2. Step 2: Convert to fraction form
    19,250.16/26,567.43 = 10,866/x
  3. Step 3: Cross multiply
    19,250.16x = 26,567.43 × 10,866
  4. Step 4: Simplify right side
    19,250.16x = 288,681,694.38
  5. Step 5: Solve for x
    x = 288,681,694.38/19,250.16
  6. Step 6: Final answer
    x = 14,996.33

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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.