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Finding the Fourth Proportional to 20,565.89, 30,849 and 4,983.52

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Solution

The fourth proportional to 20,565.89, 30,849 and 4,983.52 is: 7,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.89 : 30,849 = 4,983.52 : x
  2. Step 2: Convert to fraction form
    20,565.89/30,849 = 4,983.52/x
  3. Step 3: Cross multiply
    20,565.89x = 30,849 × 4,983.52
  4. Step 4: Simplify right side
    20,565.89x = 153,736,531.36
  5. Step 5: Solve for x
    x = 153,736,531.36/20,565.89
  6. Step 6: Final answer
    x = 7,475.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.