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Finding the Fourth Proportional to 14,832.14, 20,462.16 and 9,726.26

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Solution

The fourth proportional to 14,832.14, 20,462.16 and 9,726.26 is: 13,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.14 : 20,462.16 = 9,726.26 : x
  2. Step 2: Convert to fraction form
    14,832.14/20,462.16 = 9,726.26/x
  3. Step 3: Cross multiply
    14,832.14x = 20,462.16 × 9,726.26
  4. Step 4: Simplify right side
    14,832.14x = 199,020,288.32
  5. Step 5: Solve for x
    x = 199,020,288.32/14,832.14
  6. Step 6: Final answer
    x = 13,418.18

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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.