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Finding the Fourth Proportional to 26,532.08, 39,784.43 and 7,809.69

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Solution

The fourth proportional to 26,532.08, 39,784.43 and 7,809.69 is: 11,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,532.08 : 39,784.43 = 7,809.69 : x
  2. Step 2: Convert to fraction form
    26,532.08/39,784.43 = 7,809.69/x
  3. Step 3: Cross multiply
    26,532.08x = 39,784.43 × 7,809.69
  4. Step 4: Simplify right side
    26,532.08x = 310,704,026.08
  5. Step 5: Solve for x
    x = 310,704,026.08/26,532.08
  6. Step 6: Final answer
    x = 11,710.50

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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.