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Finding the Fourth Proportional to 19,833.67, 29,751.50 and 6,505.48

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Solution

The fourth proportional to 19,833.67, 29,751.50 and 6,505.48 is: 9,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.67 : 29,751.50 = 6,505.48 : x
  2. Step 2: Convert to fraction form
    19,833.67/29,751.50 = 6,505.48/x
  3. Step 3: Cross multiply
    19,833.67x = 29,751.50 × 6,505.48
  4. Step 4: Simplify right side
    19,833.67x = 193,547,860.86
  5. Step 5: Solve for x
    x = 193,547,860.86/19,833.67
  6. Step 6: Final answer
    x = 9,758.55

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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.