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Finding the Fourth Proportional to 27,906.12, 38,509.92 and 15,970.32

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Solution

The fourth proportional to 27,906.12, 38,509.92 and 15,970.32 is: 22,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.12 : 38,509.92 = 15,970.32 : x
  2. Step 2: Convert to fraction form
    27,906.12/38,509.92 = 15,970.32/x
  3. Step 3: Cross multiply
    27,906.12x = 38,509.92 × 15,970.32
  4. Step 4: Simplify right side
    27,906.12x = 615,015,745.57
  5. Step 5: Solve for x
    x = 615,015,745.57/27,906.12
  6. Step 6: Final answer
    x = 22,038.74

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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.