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Finding the Fourth Proportional to 27,382.40, 37,784.98 and 15,447.86

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Solution

The fourth proportional to 27,382.40, 37,784.98 and 15,447.86 is: 21,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.40 : 37,784.98 = 15,447.86 : x
  2. Step 2: Convert to fraction form
    27,382.40/37,784.98 = 15,447.86/x
  3. Step 3: Cross multiply
    27,382.40x = 37,784.98 × 15,447.86
  4. Step 4: Simplify right side
    27,382.40x = 583,697,081.14
  5. Step 5: Solve for x
    x = 583,697,081.14/27,382.40
  6. Step 6: Final answer
    x = 21,316.51

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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.