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Finding the Fourth Proportional to 10,584.12, 14,600.18 and 9,833.24

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Solution

The fourth proportional to 10,584.12, 14,600.18 and 9,833.24 is: 13,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.12 : 14,600.18 = 9,833.24 : x
  2. Step 2: Convert to fraction form
    10,584.12/14,600.18 = 9,833.24/x
  3. Step 3: Cross multiply
    10,584.12x = 14,600.18 × 9,833.24
  4. Step 4: Simplify right side
    10,584.12x = 143,567,073.98
  5. Step 5: Solve for x
    x = 143,567,073.98/10,584.12
  6. Step 6: Final answer
    x = 13,564.38

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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.