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Finding the Fourth Proportional to 13,062.50, 19,584.84 and 4,296.14

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Solution

The fourth proportional to 13,062.50, 19,584.84 and 4,296.14 is: 6,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,062.50 : 19,584.84 = 4,296.14 : x
  2. Step 2: Convert to fraction form
    13,062.50/19,584.84 = 4,296.14/x
  3. Step 3: Cross multiply
    13,062.50x = 19,584.84 × 4,296.14
  4. Step 4: Simplify right side
    13,062.50x = 84,139,214.52
  5. Step 5: Solve for x
    x = 84,139,214.52/13,062.50
  6. Step 6: Final answer
    x = 6,441.28

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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.