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Finding the Fourth Proportional to 21,354.36, 32,009.25 and 7,310.25

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Solution

The fourth proportional to 21,354.36, 32,009.25 and 7,310.25 is: 10,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.36 : 32,009.25 = 7,310.25 : x
  2. Step 2: Convert to fraction form
    21,354.36/32,009.25 = 7,310.25/x
  3. Step 3: Cross multiply
    21,354.36x = 32,009.25 × 7,310.25
  4. Step 4: Simplify right side
    21,354.36x = 233,995,619.81
  5. Step 5: Solve for x
    x = 233,995,619.81/21,354.36
  6. Step 6: Final answer
    x = 10,957.74

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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.