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Finding the Fourth Proportional to 16,262.94, 22,441.14 and 9,188.00

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Solution

The fourth proportional to 16,262.94, 22,441.14 and 9,188.00 is: 12,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.94 : 22,441.14 = 9,188.00 : x
  2. Step 2: Convert to fraction form
    16,262.94/22,441.14 = 9,188.00/x
  3. Step 3: Cross multiply
    16,262.94x = 22,441.14 × 9,188.00
  4. Step 4: Simplify right side
    16,262.94x = 206,189,082.11
  5. Step 5: Solve for x
    x = 206,189,082.11/16,262.94
  6. Step 6: Final answer
    x = 12,678.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.