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Finding the Fourth Proportional to 23,392.89, 32,280.98 and 12,780.47

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Solution

The fourth proportional to 23,392.89, 32,280.98 and 12,780.47 is: 17,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.89 : 32,280.98 = 12,780.47 : x
  2. Step 2: Convert to fraction form
    23,392.89/32,280.98 = 12,780.47/x
  3. Step 3: Cross multiply
    23,392.89x = 32,280.98 × 12,780.47
  4. Step 4: Simplify right side
    23,392.89x = 412,565,871.15
  5. Step 5: Solve for x
    x = 412,565,871.15/23,392.89
  6. Step 6: Final answer
    x = 17,636.38

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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.