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Finding the Fourth Proportional to 20,294.47, 30,442.62 and 7,810.03

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Solution

The fourth proportional to 20,294.47, 30,442.62 and 7,810.03 is: 11,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.47 : 30,442.62 = 7,810.03 : x
  2. Step 2: Convert to fraction form
    20,294.47/30,442.62 = 7,810.03/x
  3. Step 3: Cross multiply
    20,294.47x = 30,442.62 × 7,810.03
  4. Step 4: Simplify right side
    20,294.47x = 237,757,775.48
  5. Step 5: Solve for x
    x = 237,757,775.48/20,294.47
  6. Step 6: Final answer
    x = 11,715.40

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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.