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Finding the Fourth Proportional to 17,826.63, 24,598.22 and 9,868.65

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Solution

The fourth proportional to 17,826.63, 24,598.22 and 9,868.65 is: 13,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.63 : 24,598.22 = 9,868.65 : x
  2. Step 2: Convert to fraction form
    17,826.63/24,598.22 = 9,868.65/x
  3. Step 3: Cross multiply
    17,826.63x = 24,598.22 × 9,868.65
  4. Step 4: Simplify right side
    17,826.63x = 242,751,174.46
  5. Step 5: Solve for x
    x = 242,751,174.46/17,826.63
  6. Step 6: Final answer
    x = 13,617.33

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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.