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Finding the Fourth Proportional to 14,214.72, 19,616.33 and 7,841.17

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Solution

The fourth proportional to 14,214.72, 19,616.33 and 7,841.17 is: 10,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.72 : 19,616.33 = 7,841.17 : x
  2. Step 2: Convert to fraction form
    14,214.72/19,616.33 = 7,841.17/x
  3. Step 3: Cross multiply
    14,214.72x = 19,616.33 × 7,841.17
  4. Step 4: Simplify right side
    14,214.72x = 153,814,948.87
  5. Step 5: Solve for x
    x = 153,814,948.87/14,214.72
  6. Step 6: Final answer
    x = 10,820.82

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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.