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Finding the Fourth Proportional to 16,214.95, 22,378.07 and 9,142.74

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Solution

The fourth proportional to 16,214.95, 22,378.07 and 9,142.74 is: 12,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.95 : 22,378.07 = 9,142.74 : x
  2. Step 2: Convert to fraction form
    16,214.95/22,378.07 = 9,142.74/x
  3. Step 3: Cross multiply
    16,214.95x = 22,378.07 × 9,142.74
  4. Step 4: Simplify right side
    16,214.95x = 204,596,898.57
  5. Step 5: Solve for x
    x = 204,596,898.57/16,214.95
  6. Step 6: Final answer
    x = 12,617.79

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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.