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Finding the Fourth Proportional to 21,167.98, 31,740.62 and 7,123.34

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Solution

The fourth proportional to 21,167.98, 31,740.62 and 7,123.34 is: 10,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.98 : 31,740.62 = 7,123.34 : x
  2. Step 2: Convert to fraction form
    21,167.98/31,740.62 = 7,123.34/x
  3. Step 3: Cross multiply
    21,167.98x = 31,740.62 × 7,123.34
  4. Step 4: Simplify right side
    21,167.98x = 226,099,087.18
  5. Step 5: Solve for x
    x = 226,099,087.18/21,167.98
  6. Step 6: Final answer
    x = 10,681.19

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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.