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Finding the Fourth Proportional to 20,641.16, 30,959.10 and 6,602.65

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Solution

The fourth proportional to 20,641.16, 30,959.10 and 6,602.65 is: 9,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,641.16 : 30,959.10 = 6,602.65 : x
  2. Step 2: Convert to fraction form
    20,641.16/30,959.10 = 6,602.65/x
  3. Step 3: Cross multiply
    20,641.16x = 30,959.10 × 6,602.65
  4. Step 4: Simplify right side
    20,641.16x = 204,412,024.22
  5. Step 5: Solve for x
    x = 204,412,024.22/20,641.16
  6. Step 6: Final answer
    x = 9,903.13

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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.