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Finding the Fourth Proportional to 10,220.94, 15,323.26 and 9,400.86

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Solution

The fourth proportional to 10,220.94, 15,323.26 and 9,400.86 is: 14,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.94 : 15,323.26 = 9,400.86 : x
  2. Step 2: Convert to fraction form
    10,220.94/15,323.26 = 9,400.86/x
  3. Step 3: Cross multiply
    10,220.94x = 15,323.26 × 9,400.86
  4. Step 4: Simplify right side
    10,220.94x = 144,051,822.00
  5. Step 5: Solve for x
    x = 144,051,822.00/10,220.94
  6. Step 6: Final answer
    x = 14,093.79

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