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Finding the Fourth Proportional to 17,727.36, 26,582.76 and 9,417.12

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Solution

The fourth proportional to 17,727.36, 26,582.76 and 9,417.12 is: 14,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.36 : 26,582.76 = 9,417.12 : x
  2. Step 2: Convert to fraction form
    17,727.36/26,582.76 = 9,417.12/x
  3. Step 3: Cross multiply
    17,727.36x = 26,582.76 × 9,417.12
  4. Step 4: Simplify right side
    17,727.36x = 250,333,040.85
  5. Step 5: Solve for x
    x = 250,333,040.85/17,727.36
  6. Step 6: Final answer
    x = 14,121.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.