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Finding the Fourth Proportional to 20,266.34, 30,402.54 and 7,116.39

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Solution

The fourth proportional to 20,266.34, 30,402.54 and 7,116.39 is: 10,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266.34 : 30,402.54 = 7,116.39 : x
  2. Step 2: Convert to fraction form
    20,266.34/30,402.54 = 7,116.39/x
  3. Step 3: Cross multiply
    20,266.34x = 30,402.54 × 7,116.39
  4. Step 4: Simplify right side
    20,266.34x = 216,356,331.63
  5. Step 5: Solve for x
    x = 216,356,331.63/20,266.34
  6. Step 6: Final answer
    x = 10,675.65

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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.