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Finding the Fourth Proportional to 14,124.60, 19,493.10 and 7,839

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Solution

The fourth proportional to 14,124.60, 19,493.10 and 7,839 is: 10,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.60 : 19,493.10 = 7,839 : x
  2. Step 2: Convert to fraction form
    14,124.60/19,493.10 = 7,839/x
  3. Step 3: Cross multiply
    14,124.60x = 19,493.10 × 7,839
  4. Step 4: Simplify right side
    14,124.60x = 152,806,410.90
  5. Step 5: Solve for x
    x = 152,806,410.90/14,124.60
  6. Step 6: Final answer
    x = 10,818.46

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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.