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Finding the Fourth Proportional to 16,194.64, 22,347.84 and 9,024.94

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Solution

The fourth proportional to 16,194.64, 22,347.84 and 9,024.94 is: 12,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.64 : 22,347.84 = 9,024.94 : x
  2. Step 2: Convert to fraction form
    16,194.64/22,347.84 = 9,024.94/x
  3. Step 3: Cross multiply
    16,194.64x = 22,347.84 × 9,024.94
  4. Step 4: Simplify right side
    16,194.64x = 201,687,915.13
  5. Step 5: Solve for x
    x = 201,687,915.13/16,194.64
  6. Step 6: Final answer
    x = 12,453.99

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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.