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Finding the Fourth Proportional to 21,228.18, 31,834.02 and 7,184.46

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Solution

The fourth proportional to 21,228.18, 31,834.02 and 7,184.46 is: 10,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228.18 : 31,834.02 = 7,184.46 : x
  2. Step 2: Convert to fraction form
    21,228.18/31,834.02 = 7,184.46/x
  3. Step 3: Cross multiply
    21,228.18x = 31,834.02 × 7,184.46
  4. Step 4: Simplify right side
    21,228.18x = 228,710,243.33
  5. Step 5: Solve for x
    x = 228,710,243.33/21,228.18
  6. Step 6: Final answer
    x = 10,773.90

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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.