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Finding the Fourth Proportional to 27,840.98, 38,421.54 and 19,902.17

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Solution

The fourth proportional to 27,840.98, 38,421.54 and 19,902.17 is: 27,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.98 : 38,421.54 = 19,902.17 : x
  2. Step 2: Convert to fraction form
    27,840.98/38,421.54 = 19,902.17/x
  3. Step 3: Cross multiply
    27,840.98x = 38,421.54 × 19,902.17
  4. Step 4: Simplify right side
    27,840.98x = 764,672,116.80
  5. Step 5: Solve for x
    x = 764,672,116.80/27,840.98
  6. Step 6: Final answer
    x = 27,465.70

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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.