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Finding the Fourth Proportional to 14,145.64, 21,197.98 and 7,821.75

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Solution

The fourth proportional to 14,145.64, 21,197.98 and 7,821.75 is: 11,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.64 : 21,197.98 = 7,821.75 : x
  2. Step 2: Convert to fraction form
    14,145.64/21,197.98 = 7,821.75/x
  3. Step 3: Cross multiply
    14,145.64x = 21,197.98 × 7,821.75
  4. Step 4: Simplify right side
    14,145.64x = 165,805,300.07
  5. Step 5: Solve for x
    x = 165,805,300.07/14,145.64
  6. Step 6: Final answer
    x = 11,721.30

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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.