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Finding the Fourth Proportional to 13,717.79, 18,930.64 and 7,430.16

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Solution

The fourth proportional to 13,717.79, 18,930.64 and 7,430.16 is: 10,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.79 : 18,930.64 = 7,430.16 : x
  2. Step 2: Convert to fraction form
    13,717.79/18,930.64 = 7,430.16/x
  3. Step 3: Cross multiply
    13,717.79x = 18,930.64 × 7,430.16
  4. Step 4: Simplify right side
    13,717.79x = 140,657,750.45
  5. Step 5: Solve for x
    x = 140,657,750.45/13,717.79
  6. Step 6: Final answer
    x = 10,253.68

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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.