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Finding the Fourth Proportional to 25,214.60, 34,795.87 and 13,883.87

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Solution

The fourth proportional to 25,214.60, 34,795.87 and 13,883.87 is: 19,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.60 : 34,795.87 = 13,883.87 : x
  2. Step 2: Convert to fraction form
    25,214.60/34,795.87 = 13,883.87/x
  3. Step 3: Cross multiply
    25,214.60x = 34,795.87 × 13,883.87
  4. Step 4: Simplify right side
    25,214.60x = 483,101,387.90
  5. Step 5: Solve for x
    x = 483,101,387.90/25,214.60
  6. Step 6: Final answer
    x = 19,159.59

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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.