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Finding the Fourth Proportional to 16,438.44, 22,684.95 and 9,364.71

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Solution

The fourth proportional to 16,438.44, 22,684.95 and 9,364.71 is: 12,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.44 : 22,684.95 = 9,364.71 : x
  2. Step 2: Convert to fraction form
    16,438.44/22,684.95 = 9,364.71/x
  3. Step 3: Cross multiply
    16,438.44x = 22,684.95 × 9,364.71
  4. Step 4: Simplify right side
    16,438.44x = 212,437,978.11
  5. Step 5: Solve for x
    x = 212,437,978.11/16,438.44
  6. Step 6: Final answer
    x = 12,923.24

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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.