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Finding the Fourth Proportional to 14,536.82, 21,805.23 and 10,162.82

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Solution

The fourth proportional to 14,536.82, 21,805.23 and 10,162.82 is: 15,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.82 : 21,805.23 = 10,162.82 : x
  2. Step 2: Convert to fraction form
    14,536.82/21,805.23 = 10,162.82/x
  3. Step 3: Cross multiply
    14,536.82x = 21,805.23 × 10,162.82
  4. Step 4: Simplify right side
    14,536.82x = 221,602,518.52
  5. Step 5: Solve for x
    x = 221,602,518.52/14,536.82
  6. Step 6: Final answer
    x = 15,244.23

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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.