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Finding the Fourth Proportional to 16,376.16, 22,599.09 and 8,924.16

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Solution

The fourth proportional to 16,376.16, 22,599.09 and 8,924.16 is: 12,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.16 : 22,599.09 = 8,924.16 : x
  2. Step 2: Convert to fraction form
    16,376.16/22,599.09 = 8,924.16/x
  3. Step 3: Cross multiply
    16,376.16x = 22,599.09 × 8,924.16
  4. Step 4: Simplify right side
    16,376.16x = 201,677,895.01
  5. Step 5: Solve for x
    x = 201,677,895.01/16,376.16
  6. Step 6: Final answer
    x = 12,315.33

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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.