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Finding the Fourth Proportional to 13,717.84, 18,930.80 and 7,430.20

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Solution

The fourth proportional to 13,717.84, 18,930.80 and 7,430.20 is: 10,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.84 : 18,930.80 = 7,430.20 : x
  2. Step 2: Convert to fraction form
    13,717.84/18,930.80 = 7,430.20/x
  3. Step 3: Cross multiply
    13,717.84x = 18,930.80 × 7,430.20
  4. Step 4: Simplify right side
    13,717.84x = 140,659,630.16
  5. Step 5: Solve for x
    x = 140,659,630.16/13,717.84
  6. Step 6: Final answer
    x = 10,253.77

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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.