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Finding the Fourth Proportional to 15,866.38, 21,885.70 and 10,208.50

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Solution

The fourth proportional to 15,866.38, 21,885.70 and 10,208.50 is: 14,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.38 : 21,885.70 = 10,208.50 : x
  2. Step 2: Convert to fraction form
    15,866.38/21,885.70 = 10,208.50/x
  3. Step 3: Cross multiply
    15,866.38x = 21,885.70 × 10,208.50
  4. Step 4: Simplify right side
    15,866.38x = 223,420,168.45
  5. Step 5: Solve for x
    x = 223,420,168.45/15,866.38
  6. Step 6: Final answer
    x = 14,081.36

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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.