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Finding the Fourth Proportional to 21,016.23, 31,538 and 7,868.49

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Solution

The fourth proportional to 21,016.23, 31,538 and 7,868.49 is: 11,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016.23 : 31,538 = 7,868.49 : x
  2. Step 2: Convert to fraction form
    21,016.23/31,538 = 7,868.49/x
  3. Step 3: Cross multiply
    21,016.23x = 31,538 × 7,868.49
  4. Step 4: Simplify right side
    21,016.23x = 248,156,437.62
  5. Step 5: Solve for x
    x = 248,156,437.62/21,016.23
  6. Step 6: Final answer
    x = 11,807.85

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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.