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Finding the Fourth Proportional to 26,527, 36,608.02 and 14,591.10

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Solution

The fourth proportional to 26,527, 36,608.02 and 14,591.10 is: 20,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,527 : 36,608.02 = 14,591.10 : x
  2. Step 2: Convert to fraction form
    26,527/36,608.02 = 14,591.10/x
  3. Step 3: Cross multiply
    26,527x = 36,608.02 × 14,591.10
  4. Step 4: Simplify right side
    26,527x = 534,151,280.62
  5. Step 5: Solve for x
    x = 534,151,280.62/26,527
  6. Step 6: Final answer
    x = 20,136.14

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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.