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Finding the Fourth Proportional to 20,258.91, 30,401.95 and 7,111.32

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Solution

The fourth proportional to 20,258.91, 30,401.95 and 7,111.32 is: 10,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258.91 : 30,401.95 = 7,111.32 : x
  2. Step 2: Convert to fraction form
    20,258.91/30,401.95 = 7,111.32/x
  3. Step 3: Cross multiply
    20,258.91x = 30,401.95 × 7,111.32
  4. Step 4: Simplify right side
    20,258.91x = 216,197,995.07
  5. Step 5: Solve for x
    x = 216,197,995.07/20,258.91
  6. Step 6: Final answer
    x = 10,671.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.