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Finding the Fourth Proportional to 16,370.16, 22,589.75 and 9,654.26

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Solution

The fourth proportional to 16,370.16, 22,589.75 and 9,654.26 is: 13,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.16 : 22,589.75 = 9,654.26 : x
  2. Step 2: Convert to fraction form
    16,370.16/22,589.75 = 9,654.26/x
  3. Step 3: Cross multiply
    16,370.16x = 22,589.75 × 9,654.26
  4. Step 4: Simplify right side
    16,370.16x = 218,087,158.61
  5. Step 5: Solve for x
    x = 218,087,158.61/16,370.16
  6. Step 6: Final answer
    x = 13,322.24

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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.