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Finding the Fourth Proportional to 15,199.83, 20,950.68 and 10,162.23

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Solution

The fourth proportional to 15,199.83, 20,950.68 and 10,162.23 is: 14,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.83 : 20,950.68 = 10,162.23 : x
  2. Step 2: Convert to fraction form
    15,199.83/20,950.68 = 10,162.23/x
  3. Step 3: Cross multiply
    15,199.83x = 20,950.68 × 10,162.23
  4. Step 4: Simplify right side
    15,199.83x = 212,905,628.82
  5. Step 5: Solve for x
    x = 212,905,628.82/15,199.83
  6. Step 6: Final answer
    x = 14,007.11

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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.