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Finding the Fourth Proportional to 27,970.92, 38,599.87 and 15,224.15

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Solution

The fourth proportional to 27,970.92, 38,599.87 and 15,224.15 is: 21,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.92 : 38,599.87 = 15,224.15 : x
  2. Step 2: Convert to fraction form
    27,970.92/38,599.87 = 15,224.15/x
  3. Step 3: Cross multiply
    27,970.92x = 38,599.87 × 15,224.15
  4. Step 4: Simplify right side
    27,970.92x = 587,650,210.86
  5. Step 5: Solve for x
    x = 587,650,210.86/27,970.92
  6. Step 6: Final answer
    x = 21,009.33

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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.