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Finding the Fourth Proportional to 16,259.64, 22,436.49 and 9,186.06

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Solution

The fourth proportional to 16,259.64, 22,436.49 and 9,186.06 is: 12,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.64 : 22,436.49 = 9,186.06 : x
  2. Step 2: Convert to fraction form
    16,259.64/22,436.49 = 9,186.06/x
  3. Step 3: Cross multiply
    16,259.64x = 22,436.49 × 9,186.06
  4. Step 4: Simplify right side
    16,259.64x = 206,102,935.71
  5. Step 5: Solve for x
    x = 206,102,935.71/16,259.64
  6. Step 6: Final answer
    x = 12,675.74

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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.