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Finding the Fourth Proportional to 19,565.92, 29,349 and 4,774.96

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Solution

The fourth proportional to 19,565.92, 29,349 and 4,774.96 is: 7,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565.92 : 29,349 = 4,774.96 : x
  2. Step 2: Convert to fraction form
    19,565.92/29,349 = 4,774.96/x
  3. Step 3: Cross multiply
    19,565.92x = 29,349 × 4,774.96
  4. Step 4: Simplify right side
    19,565.92x = 140,140,301.04
  5. Step 5: Solve for x
    x = 140,140,301.04/19,565.92
  6. Step 6: Final answer
    x = 7,162.47

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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.