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Finding the Fourth Proportional to 19,624.28, 27,091.53 and 13,284.38

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Solution

The fourth proportional to 19,624.28, 27,091.53 and 13,284.38 is: 18,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624.28 : 27,091.53 = 13,284.38 : x
  2. Step 2: Convert to fraction form
    19,624.28/27,091.53 = 13,284.38/x
  3. Step 3: Cross multiply
    19,624.28x = 27,091.53 × 13,284.38
  4. Step 4: Simplify right side
    19,624.28x = 359,894,247.03
  5. Step 5: Solve for x
    x = 359,894,247.03/19,624.28
  6. Step 6: Final answer
    x = 18,339.24

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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.