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Finding the Fourth Proportional to 26,185, 36,135.30 and 15,007

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Solution

The fourth proportional to 26,185, 36,135.30 and 15,007 is: 20,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,185 : 36,135.30 = 15,007 : x
  2. Step 2: Convert to fraction form
    26,185/36,135.30 = 15,007/x
  3. Step 3: Cross multiply
    26,185x = 36,135.30 × 15,007
  4. Step 4: Simplify right side
    26,185x = 542,282,447.10
  5. Step 5: Solve for x
    x = 542,282,447.10/26,185
  6. Step 6: Final answer
    x = 20,709.66

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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.