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Finding the Fourth Proportional to 25,270, 34,873.32 and 14,092.72

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Solution

The fourth proportional to 25,270, 34,873.32 and 14,092.72 is: 19,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,270 : 34,873.32 = 14,092.72 : x
  2. Step 2: Convert to fraction form
    25,270/34,873.32 = 14,092.72/x
  3. Step 3: Cross multiply
    25,270x = 34,873.32 × 14,092.72
  4. Step 4: Simplify right side
    25,270x = 491,459,934.23
  5. Step 5: Solve for x
    x = 491,459,934.23/25,270
  6. Step 6: Final answer
    x = 19,448.36

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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.