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Finding the Fourth Proportional to 16,588.50, 22,892.14 and 9,136.50

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Solution

The fourth proportional to 16,588.50, 22,892.14 and 9,136.50 is: 12,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.50 : 22,892.14 = 9,136.50 : x
  2. Step 2: Convert to fraction form
    16,588.50/22,892.14 = 9,136.50/x
  3. Step 3: Cross multiply
    16,588.50x = 22,892.14 × 9,136.50
  4. Step 4: Simplify right side
    16,588.50x = 209,154,037.11
  5. Step 5: Solve for x
    x = 209,154,037.11/16,588.50
  6. Step 6: Final answer
    x = 12,608.38

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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.