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Finding the Fourth Proportional to 26,182.68, 36,132.69 and 14,852.94

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Solution

The fourth proportional to 26,182.68, 36,132.69 and 14,852.94 is: 20,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,182.68 : 36,132.69 = 14,852.94 : x
  2. Step 2: Convert to fraction form
    26,182.68/36,132.69 = 14,852.94/x
  3. Step 3: Cross multiply
    26,182.68x = 36,132.69 × 14,852.94
  4. Step 4: Simplify right side
    26,182.68x = 536,676,676.61
  5. Step 5: Solve for x
    x = 536,676,676.61/26,182.68
  6. Step 6: Final answer
    x = 20,497.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.