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Finding the Fourth Proportional to 12,476.19, 18,701.85 and 6,932.01

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Solution

The fourth proportional to 12,476.19, 18,701.85 and 6,932.01 is: 10,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.19 : 18,701.85 = 6,932.01 : x
  2. Step 2: Convert to fraction form
    12,476.19/18,701.85 = 6,932.01/x
  3. Step 3: Cross multiply
    12,476.19x = 18,701.85 × 6,932.01
  4. Step 4: Simplify right side
    12,476.19x = 129,641,411.22
  5. Step 5: Solve for x
    x = 129,641,411.22/12,476.19
  6. Step 6: Final answer
    x = 10,391.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.