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Finding the Fourth Proportional to 21,881.88, 32,800.14 and 10,185.48

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Solution

The fourth proportional to 21,881.88, 32,800.14 and 10,185.48 is: 15,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.88 : 32,800.14 = 10,185.48 : x
  2. Step 2: Convert to fraction form
    21,881.88/32,800.14 = 10,185.48/x
  3. Step 3: Cross multiply
    21,881.88x = 32,800.14 × 10,185.48
  4. Step 4: Simplify right side
    21,881.88x = 334,085,169.97
  5. Step 5: Solve for x
    x = 334,085,169.97/21,881.88
  6. Step 6: Final answer
    x = 15,267.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.