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Finding the Fourth Proportional to 26,762.40, 40,146.84 and 11,178

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Solution

The fourth proportional to 26,762.40, 40,146.84 and 11,178 is: 16,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,762.40 : 40,146.84 = 11,178 : x
  2. Step 2: Convert to fraction form
    26,762.40/40,146.84 = 11,178/x
  3. Step 3: Cross multiply
    26,762.40x = 40,146.84 × 11,178
  4. Step 4: Simplify right side
    26,762.40x = 448,761,377.52
  5. Step 5: Solve for x
    x = 448,761,377.52/26,762.40
  6. Step 6: Final answer
    x = 16,768.35

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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.