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Finding the Fourth Proportional to 26,394.63, 39,582.36 and 7,669.59

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Solution

The fourth proportional to 26,394.63, 39,582.36 and 7,669.59 is: 11,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,394.63 : 39,582.36 = 7,669.59 : x
  2. Step 2: Convert to fraction form
    26,394.63/39,582.36 = 7,669.59/x
  3. Step 3: Cross multiply
    26,394.63x = 39,582.36 × 7,669.59
  4. Step 4: Simplify right side
    26,394.63x = 303,580,472.43
  5. Step 5: Solve for x
    x = 303,580,472.43/26,394.63
  6. Step 6: Final answer
    x = 11,501.60

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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.