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Finding the Fourth Proportional to 16,521.16, 22,796.94 and 9,448.06

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Solution

The fourth proportional to 16,521.16, 22,796.94 and 9,448.06 is: 13,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,521.16 : 22,796.94 = 9,448.06 : x
  2. Step 2: Convert to fraction form
    16,521.16/22,796.94 = 9,448.06/x
  3. Step 3: Cross multiply
    16,521.16x = 22,796.94 × 9,448.06
  4. Step 4: Simplify right side
    16,521.16x = 215,386,856.94
  5. Step 5: Solve for x
    x = 215,386,856.94/16,521.16
  6. Step 6: Final answer
    x = 13,037.03

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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.