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Finding the Fourth Proportional to 16,524.73, 22,803.71 and 8,970.73

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Solution

The fourth proportional to 16,524.73, 22,803.71 and 8,970.73 is: 12,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.73 : 22,803.71 = 8,970.73 : x
  2. Step 2: Convert to fraction form
    16,524.73/22,803.71 = 8,970.73/x
  3. Step 3: Cross multiply
    16,524.73x = 22,803.71 × 8,970.73
  4. Step 4: Simplify right side
    16,524.73x = 204,565,925.41
  5. Step 5: Solve for x
    x = 204,565,925.41/16,524.73
  6. Step 6: Final answer
    x = 12,379.38

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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.