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Finding the Fourth Proportional to 21,047.95, 31,577.85 and 9,202.76

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Solution

The fourth proportional to 21,047.95, 31,577.85 and 9,202.76 is: 13,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.95 : 31,577.85 = 9,202.76 : x
  2. Step 2: Convert to fraction form
    21,047.95/31,577.85 = 9,202.76/x
  3. Step 3: Cross multiply
    21,047.95x = 31,577.85 × 9,202.76
  4. Step 4: Simplify right side
    21,047.95x = 290,603,487.14
  5. Step 5: Solve for x
    x = 290,603,487.14/21,047.95
  6. Step 6: Final answer
    x = 13,806.74

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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.