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Finding the Fourth Proportional to 19,601.10, 29,386.79 and 9,747.30

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Solution

The fourth proportional to 19,601.10, 29,386.79 and 9,747.30 is: 14,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,601.10 : 29,386.79 = 9,747.30 : x
  2. Step 2: Convert to fraction form
    19,601.10/29,386.79 = 9,747.30/x
  3. Step 3: Cross multiply
    19,601.10x = 29,386.79 × 9,747.30
  4. Step 4: Simplify right side
    19,601.10x = 286,441,818.50
  5. Step 5: Solve for x
    x = 286,441,818.50/19,601.10
  6. Step 6: Final answer
    x = 14,613.56

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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.