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Finding the Fourth Proportional to 15,710.36, 21,681.61 and 8,638.11

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Solution

The fourth proportional to 15,710.36, 21,681.61 and 8,638.11 is: 11,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.36 : 21,681.61 = 8,638.11 : x
  2. Step 2: Convert to fraction form
    15,710.36/21,681.61 = 8,638.11/x
  3. Step 3: Cross multiply
    15,710.36x = 21,681.61 × 8,638.11
  4. Step 4: Simplify right side
    15,710.36x = 187,288,110.56
  5. Step 5: Solve for x
    x = 187,288,110.56/15,710.36
  6. Step 6: Final answer
    x = 11,921.32

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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.