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Finding the Fourth Proportional to 27,775.40, 38,342.70 and 17,717.63

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Solution

The fourth proportional to 27,775.40, 38,342.70 and 17,717.63 is: 24,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.40 : 38,342.70 = 17,717.63 : x
  2. Step 2: Convert to fraction form
    27,775.40/38,342.70 = 17,717.63/x
  3. Step 3: Cross multiply
    27,775.40x = 38,342.70 × 17,717.63
  4. Step 4: Simplify right side
    27,775.40x = 679,341,580.09
  5. Step 5: Solve for x
    x = 679,341,580.09/27,775.40
  6. Step 6: Final answer
    x = 24,458.39

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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.