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Finding the Fourth Proportional to 16,162, 22,303.83 and 10,573

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Solution

The fourth proportional to 16,162, 22,303.83 and 10,573 is: 14,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162 : 22,303.83 = 10,573 : x
  2. Step 2: Convert to fraction form
    16,162/22,303.83 = 10,573/x
  3. Step 3: Cross multiply
    16,162x = 22,303.83 × 10,573
  4. Step 4: Simplify right side
    16,162x = 235,818,394.59
  5. Step 5: Solve for x
    x = 235,818,394.59/16,162
  6. Step 6: Final answer
    x = 14,590.92

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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.