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Finding the Fourth Proportional to 16,223.40, 22,389.14 and 9,511.19

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Solution

The fourth proportional to 16,223.40, 22,389.14 and 9,511.19 is: 13,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.40 : 22,389.14 = 9,511.19 : x
  2. Step 2: Convert to fraction form
    16,223.40/22,389.14 = 9,511.19/x
  3. Step 3: Cross multiply
    16,223.40x = 22,389.14 × 9,511.19
  4. Step 4: Simplify right side
    16,223.40x = 212,947,360.27
  5. Step 5: Solve for x
    x = 212,947,360.27/16,223.40
  6. Step 6: Final answer
    x = 13,125.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.