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Finding the Fourth Proportional to 25,170.68, 34,735.67 and 13,840.91

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Solution

The fourth proportional to 25,170.68, 34,735.67 and 13,840.91 is: 19,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170.68 : 34,735.67 = 13,840.91 : x
  2. Step 2: Convert to fraction form
    25,170.68/34,735.67 = 13,840.91/x
  3. Step 3: Cross multiply
    25,170.68x = 34,735.67 × 13,840.91
  4. Step 4: Simplify right side
    25,170.68x = 480,773,039.38
  5. Step 5: Solve for x
    x = 480,773,039.38/25,170.68
  6. Step 6: Final answer
    x = 19,100.52

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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.