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Finding the Fourth Proportional to 14,216.21, 19,618.51 and 7,843.02

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Solution

The fourth proportional to 14,216.21, 19,618.51 and 7,843.02 is: 10,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.21 : 19,618.51 = 7,843.02 : x
  2. Step 2: Convert to fraction form
    14,216.21/19,618.51 = 7,843.02/x
  3. Step 3: Cross multiply
    14,216.21x = 19,618.51 × 7,843.02
  4. Step 4: Simplify right side
    14,216.21x = 153,868,366.30
  5. Step 5: Solve for x
    x = 153,868,366.30/14,216.21
  6. Step 6: Final answer
    x = 10,823.44

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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.