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Finding the Fourth Proportional to 13,398.42, 18,488.97 and 7,429.74

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Solution

The fourth proportional to 13,398.42, 18,488.97 and 7,429.74 is: 10,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.42 : 18,488.97 = 7,429.74 : x
  2. Step 2: Convert to fraction form
    13,398.42/18,488.97 = 7,429.74/x
  3. Step 3: Cross multiply
    13,398.42x = 18,488.97 × 7,429.74
  4. Step 4: Simplify right side
    13,398.42x = 137,368,239.97
  5. Step 5: Solve for x
    x = 137,368,239.97/13,398.42
  6. Step 6: Final answer
    x = 10,252.57

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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.