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Finding the Fourth Proportional to 21,224.40, 31,836.56 and 7,184.52

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Solution

The fourth proportional to 21,224.40, 31,836.56 and 7,184.52 is: 10,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.40 : 31,836.56 = 7,184.52 : x
  2. Step 2: Convert to fraction form
    21,224.40/31,836.56 = 7,184.52/x
  3. Step 3: Cross multiply
    21,224.40x = 31,836.56 × 7,184.52
  4. Step 4: Simplify right side
    21,224.40x = 228,730,402.05
  5. Step 5: Solve for x
    x = 228,730,402.05/21,224.40
  6. Step 6: Final answer
    x = 10,776.77

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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.