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Finding the Fourth Proportional to 26,654.48, 36,771 and 15,470

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Solution

The fourth proportional to 26,654.48, 36,771 and 15,470 is: 21,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,654.48 : 36,771 = 15,470 : x
  2. Step 2: Convert to fraction form
    26,654.48/36,771 = 15,470/x
  3. Step 3: Cross multiply
    26,654.48x = 36,771 × 15,470
  4. Step 4: Simplify right side
    26,654.48x = 568,847,370
  5. Step 5: Solve for x
    x = 568,847,370/26,654.48
  6. Step 6: Final answer
    x = 21,341.53

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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.