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Finding the Fourth Proportional to 12,818.42, 17,675.76 and 10,124.90

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Solution

The fourth proportional to 12,818.42, 17,675.76 and 10,124.90 is: 13,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.42 : 17,675.76 = 10,124.90 : x
  2. Step 2: Convert to fraction form
    12,818.42/17,675.76 = 10,124.90/x
  3. Step 3: Cross multiply
    12,818.42x = 17,675.76 × 10,124.90
  4. Step 4: Simplify right side
    12,818.42x = 178,965,302.42
  5. Step 5: Solve for x
    x = 178,965,302.42/12,818.42
  6. Step 6: Final answer
    x = 13,961.57

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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.