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Finding the Fourth Proportional to 10,326.41, 15,489.62 and 9,800.51

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Solution

The fourth proportional to 10,326.41, 15,489.62 and 9,800.51 is: 14,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.41 : 15,489.62 = 9,800.51 : x
  2. Step 2: Convert to fraction form
    10,326.41/15,489.62 = 9,800.51/x
  3. Step 3: Cross multiply
    10,326.41x = 15,489.62 × 9,800.51
  4. Step 4: Simplify right side
    10,326.41x = 151,806,049.26
  5. Step 5: Solve for x
    x = 151,806,049.26/10,326.41
  6. Step 6: Final answer
    x = 14,700.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.