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Finding the Fourth Proportional to 26,602.98, 36,711.38 and 14,666.32

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Solution

The fourth proportional to 26,602.98, 36,711.38 and 14,666.32 is: 20,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.98 : 36,711.38 = 14,666.32 : x
  2. Step 2: Convert to fraction form
    26,602.98/36,711.38 = 14,666.32/x
  3. Step 3: Cross multiply
    26,602.98x = 36,711.38 × 14,666.32
  4. Step 4: Simplify right side
    26,602.98x = 538,420,846.72
  5. Step 5: Solve for x
    x = 538,420,846.72/26,602.98
  6. Step 6: Final answer
    x = 20,239.12

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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.