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Finding the Fourth Proportional to 20,152.29, 30,218.87 and 7,002.96

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Solution

The fourth proportional to 20,152.29, 30,218.87 and 7,002.96 is: 10,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.29 : 30,218.87 = 7,002.96 : x
  2. Step 2: Convert to fraction form
    20,152.29/30,218.87 = 7,002.96/x
  3. Step 3: Cross multiply
    20,152.29x = 30,218.87 × 7,002.96
  4. Step 4: Simplify right side
    20,152.29x = 211,621,442.04
  5. Step 5: Solve for x
    x = 211,621,442.04/20,152.29
  6. Step 6: Final answer
    x = 10,501.11

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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.