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Finding the Fourth Proportional to 26,368, 36,387.84 and 14,592

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Solution

The fourth proportional to 26,368, 36,387.84 and 14,592 is: 20,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,368 : 36,387.84 = 14,592 : x
  2. Step 2: Convert to fraction form
    26,368/36,387.84 = 14,592/x
  3. Step 3: Cross multiply
    26,368x = 36,387.84 × 14,592
  4. Step 4: Simplify right side
    26,368x = 530,971,361.28
  5. Step 5: Solve for x
    x = 530,971,361.28/26,368
  6. Step 6: Final answer
    x = 20,136.96

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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.