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Finding the Fourth Proportional to 27,878.18, 38,460.22 and 17,260.29

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Solution

The fourth proportional to 27,878.18, 38,460.22 and 17,260.29 is: 23,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.18 : 38,460.22 = 17,260.29 : x
  2. Step 2: Convert to fraction form
    27,878.18/38,460.22 = 17,260.29/x
  3. Step 3: Cross multiply
    27,878.18x = 38,460.22 × 17,260.29
  4. Step 4: Simplify right side
    27,878.18x = 663,834,507.51
  5. Step 5: Solve for x
    x = 663,834,507.51/27,878.18
  6. Step 6: Final answer
    x = 23,811.98

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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.