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Finding the Fourth Proportional to 17,298.70, 23,872.83 and 9,642.66

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Solution

The fourth proportional to 17,298.70, 23,872.83 and 9,642.66 is: 13,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.70 : 23,872.83 = 9,642.66 : x
  2. Step 2: Convert to fraction form
    17,298.70/23,872.83 = 9,642.66/x
  3. Step 3: Cross multiply
    17,298.70x = 23,872.83 × 9,642.66
  4. Step 4: Simplify right side
    17,298.70x = 230,197,582.93
  5. Step 5: Solve for x
    x = 230,197,582.93/17,298.70
  6. Step 6: Final answer
    x = 13,307.22

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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.