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Finding the Fourth Proportional to 15,754.66, 21,728.19 and 9,465.82

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Solution

The fourth proportional to 15,754.66, 21,728.19 and 9,465.82 is: 13,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.66 : 21,728.19 = 9,465.82 : x
  2. Step 2: Convert to fraction form
    15,754.66/21,728.19 = 9,465.82/x
  3. Step 3: Cross multiply
    15,754.66x = 21,728.19 × 9,465.82
  4. Step 4: Simplify right side
    15,754.66x = 205,675,135.47
  5. Step 5: Solve for x
    x = 205,675,135.47/15,754.66
  6. Step 6: Final answer
    x = 13,054.88

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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.