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Finding the Fourth Proportional to 26,532, 36,614.16 and 15,354

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Solution

The fourth proportional to 26,532, 36,614.16 and 15,354 is: 21,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532 : 36,614.16 = 15,354 : x
  2. Step 2: Convert to fraction form
    26,532/36,614.16 = 15,354/x
  3. Step 3: Cross multiply
    26,532x = 36,614.16 × 15,354
  4. Step 4: Simplify right side
    26,532x = 562,173,812.64
  5. Step 5: Solve for x
    x = 562,173,812.64/26,532
  6. Step 6: Final answer
    x = 21,188.52

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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.