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Finding the Fourth Proportional to 21,154.72, 31,732.16 and 7,112.16

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Solution

The fourth proportional to 21,154.72, 31,732.16 and 7,112.16 is: 10,668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.72 : 31,732.16 = 7,112.16 : x
  2. Step 2: Convert to fraction form
    21,154.72/31,732.16 = 7,112.16/x
  3. Step 3: Cross multiply
    21,154.72x = 31,732.16 × 7,112.16
  4. Step 4: Simplify right side
    21,154.72x = 225,684,199.07
  5. Step 5: Solve for x
    x = 225,684,199.07/21,154.72
  6. Step 6: Final answer
    x = 10,668.27

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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.