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Finding the Fourth Proportional to 15,838.80, 21,857.27 and 9,124.41

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Solution

The fourth proportional to 15,838.80, 21,857.27 and 9,124.41 is: 12,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.80 : 21,857.27 = 9,124.41 : x
  2. Step 2: Convert to fraction form
    15,838.80/21,857.27 = 9,124.41/x
  3. Step 3: Cross multiply
    15,838.80x = 21,857.27 × 9,124.41
  4. Step 4: Simplify right side
    15,838.80x = 199,434,647.34
  5. Step 5: Solve for x
    x = 199,434,647.34/15,838.80
  6. Step 6: Final answer
    x = 12,591.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.