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Finding the Fourth Proportional to 16,470.51, 22,727.84 and 9,754.94

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Solution

The fourth proportional to 16,470.51, 22,727.84 and 9,754.94 is: 13,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.51 : 22,727.84 = 9,754.94 : x
  2. Step 2: Convert to fraction form
    16,470.51/22,727.84 = 9,754.94/x
  3. Step 3: Cross multiply
    16,470.51x = 22,727.84 × 9,754.94
  4. Step 4: Simplify right side
    16,470.51x = 221,708,553.12
  5. Step 5: Solve for x
    x = 221,708,553.12/16,470.51
  6. Step 6: Final answer
    x = 13,460.94

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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.