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Finding the Fourth Proportional to 27,434.25, 37,859.28 and 14,859

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Solution

The fourth proportional to 27,434.25, 37,859.28 and 14,859 is: 20,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.25 : 37,859.28 = 14,859 : x
  2. Step 2: Convert to fraction form
    27,434.25/37,859.28 = 14,859/x
  3. Step 3: Cross multiply
    27,434.25x = 37,859.28 × 14,859
  4. Step 4: Simplify right side
    27,434.25x = 562,551,041.52
  5. Step 5: Solve for x
    x = 562,551,041.52/27,434.25
  6. Step 6: Final answer
    x = 20,505.43

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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.