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Finding the Fourth Proportional to 16,713.16, 23,064.41 and 9,159.44

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Solution

The fourth proportional to 16,713.16, 23,064.41 and 9,159.44 is: 12,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.16 : 23,064.41 = 9,159.44 : x
  2. Step 2: Convert to fraction form
    16,713.16/23,064.41 = 9,159.44/x
  3. Step 3: Cross multiply
    16,713.16x = 23,064.41 × 9,159.44
  4. Step 4: Simplify right side
    16,713.16x = 211,256,987.11
  5. Step 5: Solve for x
    x = 211,256,987.11/16,713.16
  6. Step 6: Final answer
    x = 12,640.16

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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.