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Finding the Fourth Proportional to 26,401.60, 39,596 and 8,866.88

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Solution

The fourth proportional to 26,401.60, 39,596 and 8,866.88 is: 13,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401.60 : 39,596 = 8,866.88 : x
  2. Step 2: Convert to fraction form
    26,401.60/39,596 = 8,866.88/x
  3. Step 3: Cross multiply
    26,401.60x = 39,596 × 8,866.88
  4. Step 4: Simplify right side
    26,401.60x = 351,092,980.48
  5. Step 5: Solve for x
    x = 351,092,980.48/26,401.60
  6. Step 6: Final answer
    x = 13,298.17

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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.