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Finding the Fourth Proportional to 21,034.08, 31,553.28 and 7,184.16

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Solution

The fourth proportional to 21,034.08, 31,553.28 and 7,184.16 is: 10,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.08 : 31,553.28 = 7,184.16 : x
  2. Step 2: Convert to fraction form
    21,034.08/31,553.28 = 7,184.16/x
  3. Step 3: Cross multiply
    21,034.08x = 31,553.28 × 7,184.16
  4. Step 4: Simplify right side
    21,034.08x = 226,683,812.04
  5. Step 5: Solve for x
    x = 226,683,812.04/21,034.08
  6. Step 6: Final answer
    x = 10,776.98

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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.