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Finding the Fourth Proportional to 16,367.65, 22,588.09 and 9,653.56

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Solution

The fourth proportional to 16,367.65, 22,588.09 and 9,653.56 is: 13,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,367.65 : 22,588.09 = 9,653.56 : x
  2. Step 2: Convert to fraction form
    16,367.65/22,588.09 = 9,653.56/x
  3. Step 3: Cross multiply
    16,367.65x = 22,588.09 × 9,653.56
  4. Step 4: Simplify right side
    16,367.65x = 218,055,482.10
  5. Step 5: Solve for x
    x = 218,055,482.10/16,367.65
  6. Step 6: Final answer
    x = 13,322.35

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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.