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Finding the Fourth Proportional to 12,694.18, 19,030.32 and 6,124.98

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Solution

The fourth proportional to 12,694.18, 19,030.32 and 6,124.98 is: 9,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.18 : 19,030.32 = 6,124.98 : x
  2. Step 2: Convert to fraction form
    12,694.18/19,030.32 = 6,124.98/x
  3. Step 3: Cross multiply
    12,694.18x = 19,030.32 × 6,124.98
  4. Step 4: Simplify right side
    12,694.18x = 116,560,329.39
  5. Step 5: Solve for x
    x = 116,560,329.39/12,694.18
  6. Step 6: Final answer
    x = 9,182.19

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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.