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Finding the Fourth Proportional to 16,457.16, 24,671.16 and 12,578.88

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Solution

The fourth proportional to 16,457.16, 24,671.16 and 12,578.88 is: 18,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.16 : 24,671.16 = 12,578.88 : x
  2. Step 2: Convert to fraction form
    16,457.16/24,671.16 = 12,578.88/x
  3. Step 3: Cross multiply
    16,457.16x = 24,671.16 × 12,578.88
  4. Step 4: Simplify right side
    16,457.16x = 310,335,561.10
  5. Step 5: Solve for x
    x = 310,335,561.10/16,457.16
  6. Step 6: Final answer
    x = 18,857.18

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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.