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Finding the Fourth Proportional to 16,141.87, 22,274.76 and 9,429.40

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Solution

The fourth proportional to 16,141.87, 22,274.76 and 9,429.40 is: 13,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.87 : 22,274.76 = 9,429.40 : x
  2. Step 2: Convert to fraction form
    16,141.87/22,274.76 = 9,429.40/x
  3. Step 3: Cross multiply
    16,141.87x = 22,274.76 × 9,429.40
  4. Step 4: Simplify right side
    16,141.87x = 210,037,621.94
  5. Step 5: Solve for x
    x = 210,037,621.94/16,141.87
  6. Step 6: Final answer
    x = 13,011.98

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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.