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Finding the Fourth Proportional to 25,272, 37,922.76 and 11,421

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Solution

The fourth proportional to 25,272, 37,922.76 and 11,421 is: 17,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,272 : 37,922.76 = 11,421 : x
  2. Step 2: Convert to fraction form
    25,272/37,922.76 = 11,421/x
  3. Step 3: Cross multiply
    25,272x = 37,922.76 × 11,421
  4. Step 4: Simplify right side
    25,272x = 433,115,841.96
  5. Step 5: Solve for x
    x = 433,115,841.96/25,272
  6. Step 6: Final answer
    x = 17,138.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.