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Finding the Fourth Proportional to 22,848.71, 31,461.11 and 20,000.14

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Solution

The fourth proportional to 22,848.71, 31,461.11 and 20,000.14 is: 27,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.71 : 31,461.11 = 20,000.14 : x
  2. Step 2: Convert to fraction form
    22,848.71/31,461.11 = 20,000.14/x
  3. Step 3: Cross multiply
    22,848.71x = 31,461.11 × 20,000.14
  4. Step 4: Simplify right side
    22,848.71x = 629,226,447.25
  5. Step 5: Solve for x
    x = 629,226,447.25/22,848.71
  6. Step 6: Final answer
    x = 27,538.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.