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Finding the Fourth Proportional to 23,530.69, 32,472.24 and 12,920.23

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Solution

The fourth proportional to 23,530.69, 32,472.24 and 12,920.23 is: 17,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.69 : 32,472.24 = 12,920.23 : x
  2. Step 2: Convert to fraction form
    23,530.69/32,472.24 = 12,920.23/x
  3. Step 3: Cross multiply
    23,530.69x = 32,472.24 × 12,920.23
  4. Step 4: Simplify right side
    23,530.69x = 419,548,809.42
  5. Step 5: Solve for x
    x = 419,548,809.42/23,530.69
  6. Step 6: Final answer
    x = 17,829.86

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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.