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Finding the Fourth Proportional to 19,834.61, 29,752.02 and 6,687.10

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Solution

The fourth proportional to 19,834.61, 29,752.02 and 6,687.10 is: 10,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.61 : 29,752.02 = 6,687.10 : x
  2. Step 2: Convert to fraction form
    19,834.61/29,752.02 = 6,687.10/x
  3. Step 3: Cross multiply
    19,834.61x = 29,752.02 × 6,687.10
  4. Step 4: Simplify right side
    19,834.61x = 198,954,732.94
  5. Step 5: Solve for x
    x = 198,954,732.94/19,834.61
  6. Step 6: Final answer
    x = 10,030.69

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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.