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Finding the Fourth Proportional to 19,833.72, 29,751.53 and 6,505.53

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Solution

The fourth proportional to 19,833.72, 29,751.53 and 6,505.53 is: 9,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.72 : 29,751.53 = 6,505.53 : x
  2. Step 2: Convert to fraction form
    19,833.72/29,751.53 = 6,505.53/x
  3. Step 3: Cross multiply
    19,833.72x = 29,751.53 × 6,505.53
  4. Step 4: Simplify right side
    19,833.72x = 193,549,470.96
  5. Step 5: Solve for x
    x = 193,549,470.96/19,833.72
  6. Step 6: Final answer
    x = 9,758.61

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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.