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Finding the Fourth Proportional to 13,743.32, 18,965.88 and 7,455.68

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Solution

The fourth proportional to 13,743.32, 18,965.88 and 7,455.68 is: 10,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.32 : 18,965.88 = 7,455.68 : x
  2. Step 2: Convert to fraction form
    13,743.32/18,965.88 = 7,455.68/x
  3. Step 3: Cross multiply
    13,743.32x = 18,965.88 × 7,455.68
  4. Step 4: Simplify right side
    13,743.32x = 141,403,532.20
  5. Step 5: Solve for x
    x = 141,403,532.20/13,743.32
  6. Step 6: Final answer
    x = 10,288.89

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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.