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Finding the Fourth Proportional to 12,283.19, 18,411.65 and 7,006.83

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Solution

The fourth proportional to 12,283.19, 18,411.65 and 7,006.83 is: 10,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.19 : 18,411.65 = 7,006.83 : x
  2. Step 2: Convert to fraction form
    12,283.19/18,411.65 = 7,006.83/x
  3. Step 3: Cross multiply
    12,283.19x = 18,411.65 × 7,006.83
  4. Step 4: Simplify right side
    12,283.19x = 129,007,319.09
  5. Step 5: Solve for x
    x = 129,007,319.09/12,283.19
  6. Step 6: Final answer
    x = 10,502.76

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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.