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Finding the Fourth Proportional to 21,007.72, 28,991.32 and 12,056.86

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Solution

The fourth proportional to 21,007.72, 28,991.32 and 12,056.86 is: 16,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.72 : 28,991.32 = 12,056.86 : x
  2. Step 2: Convert to fraction form
    21,007.72/28,991.32 = 12,056.86/x
  3. Step 3: Cross multiply
    21,007.72x = 28,991.32 × 12,056.86
  4. Step 4: Simplify right side
    21,007.72x = 349,544,286.46
  5. Step 5: Solve for x
    x = 349,544,286.46/21,007.72
  6. Step 6: Final answer
    x = 16,638.85

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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.