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Finding the Fourth Proportional to 21,470.36, 32,212.24 and 9,634

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Solution

The fourth proportional to 21,470.36, 32,212.24 and 9,634 is: 14,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.36 : 32,212.24 = 9,634 : x
  2. Step 2: Convert to fraction form
    21,470.36/32,212.24 = 9,634/x
  3. Step 3: Cross multiply
    21,470.36x = 32,212.24 × 9,634
  4. Step 4: Simplify right side
    21,470.36x = 310,332,720.16
  5. Step 5: Solve for x
    x = 310,332,720.16/21,470.36
  6. Step 6: Final answer
    x = 14,454.01

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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.