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Finding the Fourth Proportional to 13,365.84, 18,442.92 and 7,397.49

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Solution

The fourth proportional to 13,365.84, 18,442.92 and 7,397.49 is: 10,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.84 : 18,442.92 = 7,397.49 : x
  2. Step 2: Convert to fraction form
    13,365.84/18,442.92 = 7,397.49/x
  3. Step 3: Cross multiply
    13,365.84x = 18,442.92 × 7,397.49
  4. Step 4: Simplify right side
    13,365.84x = 136,431,316.27
  5. Step 5: Solve for x
    x = 136,431,316.27/13,365.84
  6. Step 6: Final answer
    x = 10,207.46

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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.