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Finding the Fourth Proportional to 26,400.74, 39,601.64 and 9,752.20

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Solution

The fourth proportional to 26,400.74, 39,601.64 and 9,752.20 is: 14,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400.74 : 39,601.64 = 9,752.20 : x
  2. Step 2: Convert to fraction form
    26,400.74/39,601.64 = 9,752.20/x
  3. Step 3: Cross multiply
    26,400.74x = 39,601.64 × 9,752.20
  4. Step 4: Simplify right side
    26,400.74x = 386,203,038.98
  5. Step 5: Solve for x
    x = 386,203,038.98/26,400.74
  6. Step 6: Final answer
    x = 14,628.50

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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.