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Finding the Fourth Proportional to 16,305.67, 22,502.90 and 9,136.16

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Solution

The fourth proportional to 16,305.67, 22,502.90 and 9,136.16 is: 12,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.67 : 22,502.90 = 9,136.16 : x
  2. Step 2: Convert to fraction form
    16,305.67/22,502.90 = 9,136.16/x
  3. Step 3: Cross multiply
    16,305.67x = 22,502.90 × 9,136.16
  4. Step 4: Simplify right side
    16,305.67x = 205,590,094.86
  5. Step 5: Solve for x
    x = 205,590,094.86/16,305.67
  6. Step 6: Final answer
    x = 12,608.50

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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.