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Finding the Fourth Proportional to 14,396.64, 21,594.97 and 9,488.20

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Solution

The fourth proportional to 14,396.64, 21,594.97 and 9,488.20 is: 14,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.64 : 21,594.97 = 9,488.20 : x
  2. Step 2: Convert to fraction form
    14,396.64/21,594.97 = 9,488.20/x
  3. Step 3: Cross multiply
    14,396.64x = 21,594.97 × 9,488.20
  4. Step 4: Simplify right side
    14,396.64x = 204,897,316.65
  5. Step 5: Solve for x
    x = 204,897,316.65/14,396.64
  6. Step 6: Final answer
    x = 14,232.30

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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.