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Finding the Fourth Proportional to 14,221.82, 21,307.18 and 8,375.24

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Solution

The fourth proportional to 14,221.82, 21,307.18 and 8,375.24 is: 12,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.82 : 21,307.18 = 8,375.24 : x
  2. Step 2: Convert to fraction form
    14,221.82/21,307.18 = 8,375.24/x
  3. Step 3: Cross multiply
    14,221.82x = 21,307.18 × 8,375.24
  4. Step 4: Simplify right side
    14,221.82x = 178,452,746.22
  5. Step 5: Solve for x
    x = 178,452,746.22/14,221.82
  6. Step 6: Final answer
    x = 12,547.81

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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.