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Finding the Fourth Proportional to 23,355.84, 32,231.67 and 13,283.94

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Solution

The fourth proportional to 23,355.84, 32,231.67 and 13,283.94 is: 18,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355.84 : 32,231.67 = 13,283.94 : x
  2. Step 2: Convert to fraction form
    23,355.84/32,231.67 = 13,283.94/x
  3. Step 3: Cross multiply
    23,355.84x = 32,231.67 × 13,283.94
  4. Step 4: Simplify right side
    23,355.84x = 428,163,570.38
  5. Step 5: Solve for x
    x = 428,163,570.38/23,355.84
  6. Step 6: Final answer
    x = 18,332.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.