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Finding the Fourth Proportional to 12,726.28, 17,561.16 and 7,421.60

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Solution

The fourth proportional to 12,726.28, 17,561.16 and 7,421.60 is: 10,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.28 : 17,561.16 = 7,421.60 : x
  2. Step 2: Convert to fraction form
    12,726.28/17,561.16 = 7,421.60/x
  3. Step 3: Cross multiply
    12,726.28x = 17,561.16 × 7,421.60
  4. Step 4: Simplify right side
    12,726.28x = 130,331,905.06
  5. Step 5: Solve for x
    x = 130,331,905.06/12,726.28
  6. Step 6: Final answer
    x = 10,241.16

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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.