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Finding the Fourth Proportional to 16,340.37, 22,549.68 and 9,966.93

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Solution

The fourth proportional to 16,340.37, 22,549.68 and 9,966.93 is: 13,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.37 : 22,549.68 = 9,966.93 : x
  2. Step 2: Convert to fraction form
    16,340.37/22,549.68 = 9,966.93/x
  3. Step 3: Cross multiply
    16,340.37x = 22,549.68 × 9,966.93
  4. Step 4: Simplify right side
    16,340.37x = 224,751,082.08
  5. Step 5: Solve for x
    x = 224,751,082.08/16,340.37
  6. Step 6: Final answer
    x = 13,754.34

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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.