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Finding the Fourth Proportional to 12,838.98, 17,711.34 and 8,862.30

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Solution

The fourth proportional to 12,838.98, 17,711.34 and 8,862.30 is: 12,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.98 : 17,711.34 = 8,862.30 : x
  2. Step 2: Convert to fraction form
    12,838.98/17,711.34 = 8,862.30/x
  3. Step 3: Cross multiply
    12,838.98x = 17,711.34 × 8,862.30
  4. Step 4: Simplify right side
    12,838.98x = 156,963,208.48
  5. Step 5: Solve for x
    x = 156,963,208.48/12,838.98
  6. Step 6: Final answer
    x = 12,225.52

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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.