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Finding the Fourth Proportional to 26,322, 39,502.44 and 12,471

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Solution

The fourth proportional to 26,322, 39,502.44 and 12,471 is: 18,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322 : 39,502.44 = 12,471 : x
  2. Step 2: Convert to fraction form
    26,322/39,502.44 = 12,471/x
  3. Step 3: Cross multiply
    26,322x = 39,502.44 × 12,471
  4. Step 4: Simplify right side
    26,322x = 492,634,929.24
  5. Step 5: Solve for x
    x = 492,634,929.24/26,322
  6. Step 6: Final answer
    x = 18,715.71

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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.