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Finding the Fourth Proportional to 21,497.28, 32,251.74 and 9,010.72

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Solution

The fourth proportional to 21,497.28, 32,251.74 and 9,010.72 is: 13,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.28 : 32,251.74 = 9,010.72 : x
  2. Step 2: Convert to fraction form
    21,497.28/32,251.74 = 9,010.72/x
  3. Step 3: Cross multiply
    21,497.28x = 32,251.74 × 9,010.72
  4. Step 4: Simplify right side
    21,497.28x = 290,611,398.65
  5. Step 5: Solve for x
    x = 290,611,398.65/21,497.28
  6. Step 6: Final answer
    x = 13,518.52

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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.