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Finding the Fourth Proportional to 23,642.52, 32,628.98 and 17,663.81

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Solution

The fourth proportional to 23,642.52, 32,628.98 and 17,663.81 is: 24,377.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.52 : 32,628.98 = 17,663.81 : x
  2. Step 2: Convert to fraction form
    23,642.52/32,628.98 = 17,663.81/x
  3. Step 3: Cross multiply
    23,642.52x = 32,628.98 × 17,663.81
  4. Step 4: Simplify right side
    23,642.52x = 576,352,022.52
  5. Step 5: Solve for x
    x = 576,352,022.52/23,642.52
  6. Step 6: Final answer
    x = 24,377.77

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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.