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Finding the Fourth Proportional to 22,343.16, 30,848 and 13,854.30

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Solution

The fourth proportional to 22,343.16, 30,848 and 13,854.30 is: 19,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.16 : 30,848 = 13,854.30 : x
  2. Step 2: Convert to fraction form
    22,343.16/30,848 = 13,854.30/x
  3. Step 3: Cross multiply
    22,343.16x = 30,848 × 13,854.30
  4. Step 4: Simplify right side
    22,343.16x = 427,377,446.40
  5. Step 5: Solve for x
    x = 427,377,446.40/22,343.16
  6. Step 6: Final answer
    x = 19,127.89

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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.