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Finding the Fourth Proportional to 20,605.30, 30,897.60 and 10,076.14

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Solution

The fourth proportional to 20,605.30, 30,897.60 and 10,076.14 is: 15,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,605.30 : 30,897.60 = 10,076.14 : x
  2. Step 2: Convert to fraction form
    20,605.30/30,897.60 = 10,076.14/x
  3. Step 3: Cross multiply
    20,605.30x = 30,897.60 × 10,076.14
  4. Step 4: Simplify right side
    20,605.30x = 311,328,543.26
  5. Step 5: Solve for x
    x = 311,328,543.26/20,605.30
  6. Step 6: Final answer
    x = 15,109.15

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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.