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Finding the Fourth Proportional to 14,220.72, 21,338.28 and 9,594

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Solution

The fourth proportional to 14,220.72, 21,338.28 and 9,594 is: 14,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220.72 : 21,338.28 = 9,594 : x
  2. Step 2: Convert to fraction form
    14,220.72/21,338.28 = 9,594/x
  3. Step 3: Cross multiply
    14,220.72x = 21,338.28 × 9,594
  4. Step 4: Simplify right side
    14,220.72x = 204,719,458.32
  5. Step 5: Solve for x
    x = 204,719,458.32/14,220.72
  6. Step 6: Final answer
    x = 14,395.86

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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.