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Finding the Fourth Proportional to 27,019.28, 37,298.76 and 15,842

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Solution

The fourth proportional to 27,019.28, 37,298.76 and 15,842 is: 21,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019.28 : 37,298.76 = 15,842 : x
  2. Step 2: Convert to fraction form
    27,019.28/37,298.76 = 15,842/x
  3. Step 3: Cross multiply
    27,019.28x = 37,298.76 × 15,842
  4. Step 4: Simplify right side
    27,019.28x = 590,886,955.92
  5. Step 5: Solve for x
    x = 590,886,955.92/27,019.28
  6. Step 6: Final answer
    x = 21,869.09

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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.