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Finding the Fourth Proportional to 13,710.90, 18,895.11 and 9,927.66

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Solution

The fourth proportional to 13,710.90, 18,895.11 and 9,927.66 is: 13,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.90 : 18,895.11 = 9,927.66 : x
  2. Step 2: Convert to fraction form
    13,710.90/18,895.11 = 9,927.66/x
  3. Step 3: Cross multiply
    13,710.90x = 18,895.11 × 9,927.66
  4. Step 4: Simplify right side
    13,710.90x = 187,584,227.74
  5. Step 5: Solve for x
    x = 187,584,227.74/13,710.90
  6. Step 6: Final answer
    x = 13,681.39

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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.