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Finding the Fourth Proportional to 26,532.42, 39,802.14 and 8,997.54

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Solution

The fourth proportional to 26,532.42, 39,802.14 and 8,997.54 is: 13,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532.42 : 39,802.14 = 8,997.54 : x
  2. Step 2: Convert to fraction form
    26,532.42/39,802.14 = 8,997.54/x
  3. Step 3: Cross multiply
    26,532.42x = 39,802.14 × 8,997.54
  4. Step 4: Simplify right side
    26,532.42x = 358,121,346.74
  5. Step 5: Solve for x
    x = 358,121,346.74/26,532.42
  6. Step 6: Final answer
    x = 13,497.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.