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Finding the Fourth Proportional to 11,275.29, 16,832.25 and 9,799.47

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Solution

The fourth proportional to 11,275.29, 16,832.25 and 9,799.47 is: 14,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.29 : 16,832.25 = 9,799.47 : x
  2. Step 2: Convert to fraction form
    11,275.29/16,832.25 = 9,799.47/x
  3. Step 3: Cross multiply
    11,275.29x = 16,832.25 × 9,799.47
  4. Step 4: Simplify right side
    11,275.29x = 164,947,128.91
  5. Step 5: Solve for x
    x = 164,947,128.91/11,275.29
  6. Step 6: Final answer
    x = 14,629.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.