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Finding the Fourth Proportional to 20,258.76, 30,401.76 and 7,111.20

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Solution

The fourth proportional to 20,258.76, 30,401.76 and 7,111.20 is: 10,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258.76 : 30,401.76 = 7,111.20 : x
  2. Step 2: Convert to fraction form
    20,258.76/30,401.76 = 7,111.20/x
  3. Step 3: Cross multiply
    20,258.76x = 30,401.76 × 7,111.20
  4. Step 4: Simplify right side
    20,258.76x = 216,192,995.71
  5. Step 5: Solve for x
    x = 216,192,995.71/20,258.76
  6. Step 6: Final answer
    x = 10,671.58

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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.