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Finding the Fourth Proportional to 15,127.59, 20,857.99 and 9,820.47

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Solution

The fourth proportional to 15,127.59, 20,857.99 and 9,820.47 is: 13,540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,127.59 : 20,857.99 = 9,820.47 : x
  2. Step 2: Convert to fraction form
    15,127.59/20,857.99 = 9,820.47/x
  3. Step 3: Cross multiply
    15,127.59x = 20,857.99 × 9,820.47
  4. Step 4: Simplify right side
    15,127.59x = 204,835,265.06
  5. Step 5: Solve for x
    x = 204,835,265.06/15,127.59
  6. Step 6: Final answer
    x = 13,540.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.