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Finding the Fourth Proportional to 13,398.14, 18,488.52 and 7,429.59

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Solution

The fourth proportional to 13,398.14, 18,488.52 and 7,429.59 is: 10,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.14 : 18,488.52 = 7,429.59 : x
  2. Step 2: Convert to fraction form
    13,398.14/18,488.52 = 7,429.59/x
  3. Step 3: Cross multiply
    13,398.14x = 18,488.52 × 7,429.59
  4. Step 4: Simplify right side
    13,398.14x = 137,362,123.31
  5. Step 5: Solve for x
    x = 137,362,123.31/13,398.14
  6. Step 6: Final answer
    x = 10,252.33

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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.