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Finding the Fourth Proportional to 16,378.32, 22,601.48 and 8,926.16

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Solution

The fourth proportional to 16,378.32, 22,601.48 and 8,926.16 is: 12,317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.32 : 22,601.48 = 8,926.16 : x
  2. Step 2: Convert to fraction form
    16,378.32/22,601.48 = 8,926.16/x
  3. Step 3: Cross multiply
    16,378.32x = 22,601.48 × 8,926.16
  4. Step 4: Simplify right side
    16,378.32x = 201,744,426.72
  5. Step 5: Solve for x
    x = 201,744,426.72/16,378.32
  6. Step 6: Final answer
    x = 12,317.77

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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.