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Finding the Fourth Proportional to 21,245.34, 31,868.69 and 6,454.39

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Solution

The fourth proportional to 21,245.34, 31,868.69 and 6,454.39 is: 9,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245.34 : 31,868.69 = 6,454.39 : x
  2. Step 2: Convert to fraction form
    21,245.34/31,868.69 = 6,454.39/x
  3. Step 3: Cross multiply
    21,245.34x = 31,868.69 × 6,454.39
  4. Step 4: Simplify right side
    21,245.34x = 205,692,938.17
  5. Step 5: Solve for x
    x = 205,692,938.17/21,245.34
  6. Step 6: Final answer
    x = 9,681.79

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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.