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Finding the Fourth Proportional to 16,340.94, 24,512.22 and 9,809.10

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Solution

The fourth proportional to 16,340.94, 24,512.22 and 9,809.10 is: 14,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.94 : 24,512.22 = 9,809.10 : x
  2. Step 2: Convert to fraction form
    16,340.94/24,512.22 = 9,809.10/x
  3. Step 3: Cross multiply
    16,340.94x = 24,512.22 × 9,809.10
  4. Step 4: Simplify right side
    16,340.94x = 240,442,817.20
  5. Step 5: Solve for x
    x = 240,442,817.20/16,340.94
  6. Step 6: Final answer
    x = 14,714.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.