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Finding the Fourth Proportional to 16,012.16, 22,103.52 and 9,726.56

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Solution

The fourth proportional to 16,012.16, 22,103.52 and 9,726.56 is: 13,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.16 : 22,103.52 = 9,726.56 : x
  2. Step 2: Convert to fraction form
    16,012.16/22,103.52 = 9,726.56/x
  3. Step 3: Cross multiply
    16,012.16x = 22,103.52 × 9,726.56
  4. Step 4: Simplify right side
    16,012.16x = 214,991,213.49
  5. Step 5: Solve for x
    x = 214,991,213.49/16,012.16
  6. Step 6: Final answer
    x = 13,426.75

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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.