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Finding the Fourth Proportional to 20,400.65, 30,598.09 and 6,547.85

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Solution

The fourth proportional to 20,400.65, 30,598.09 and 6,547.85 is: 9,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.65 : 30,598.09 = 6,547.85 : x
  2. Step 2: Convert to fraction form
    20,400.65/30,598.09 = 6,547.85/x
  3. Step 3: Cross multiply
    20,400.65x = 30,598.09 × 6,547.85
  4. Step 4: Simplify right side
    20,400.65x = 200,351,534.25
  5. Step 5: Solve for x
    x = 200,351,534.25/20,400.65
  6. Step 6: Final answer
    x = 9,820.84

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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.