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Finding the Fourth Proportional to 21,620.16, 32,435.16 and 9,141.24

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Solution

The fourth proportional to 21,620.16, 32,435.16 and 9,141.24 is: 13,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,620.16 : 32,435.16 = 9,141.24 : x
  2. Step 2: Convert to fraction form
    21,620.16/32,435.16 = 9,141.24/x
  3. Step 3: Cross multiply
    21,620.16x = 32,435.16 × 9,141.24
  4. Step 4: Simplify right side
    21,620.16x = 296,497,582.00
  5. Step 5: Solve for x
    x = 296,497,582.00/21,620.16
  6. Step 6: Final answer
    x = 13,713.94

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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.