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Finding the Fourth Proportional to 16,508.16, 24,729.84 and 9,568.08

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Solution

The fourth proportional to 16,508.16, 24,729.84 and 9,568.08 is: 14,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.16 : 24,729.84 = 9,568.08 : x
  2. Step 2: Convert to fraction form
    16,508.16/24,729.84 = 9,568.08/x
  3. Step 3: Cross multiply
    16,508.16x = 24,729.84 × 9,568.08
  4. Step 4: Simplify right side
    16,508.16x = 236,617,087.51
  5. Step 5: Solve for x
    x = 236,617,087.51/16,508.16
  6. Step 6: Final answer
    x = 14,333.34

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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.