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Finding the Fourth Proportional to 14,288.58, 19,717.83 and 7,914.93

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Solution

The fourth proportional to 14,288.58, 19,717.83 and 7,914.93 is: 10,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.58 : 19,717.83 = 7,914.93 : x
  2. Step 2: Convert to fraction form
    14,288.58/19,717.83 = 7,914.93/x
  3. Step 3: Cross multiply
    14,288.58x = 19,717.83 × 7,914.93
  4. Step 4: Simplify right side
    14,288.58x = 156,065,244.20
  5. Step 5: Solve for x
    x = 156,065,244.20/14,288.58
  6. Step 6: Final answer
    x = 10,922.38

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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.