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Finding the Fourth Proportional to 21,713.30, 32,557.80 and 9,231.20

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Solution

The fourth proportional to 21,713.30, 32,557.80 and 9,231.20 is: 13,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.30 : 32,557.80 = 9,231.20 : x
  2. Step 2: Convert to fraction form
    21,713.30/32,557.80 = 9,231.20/x
  3. Step 3: Cross multiply
    21,713.30x = 32,557.80 × 9,231.20
  4. Step 4: Simplify right side
    21,713.30x = 300,547,563.36
  5. Step 5: Solve for x
    x = 300,547,563.36/21,713.30
  6. Step 6: Final answer
    x = 13,841.63

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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.