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Finding the Fourth Proportional to 14,717.53, 22,076.25 and 5,952.34

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Solution

The fourth proportional to 14,717.53, 22,076.25 and 5,952.34 is: 8,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.53 : 22,076.25 = 5,952.34 : x
  2. Step 2: Convert to fraction form
    14,717.53/22,076.25 = 5,952.34/x
  3. Step 3: Cross multiply
    14,717.53x = 22,076.25 × 5,952.34
  4. Step 4: Simplify right side
    14,717.53x = 131,405,345.93
  5. Step 5: Solve for x
    x = 131,405,345.93/14,717.53
  6. Step 6: Final answer
    x = 8,928.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.