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Finding the Fourth Proportional to 15,506.80, 23,258.40 and 4,415.20

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Solution

The fourth proportional to 15,506.80, 23,258.40 and 4,415.20 is: 6,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.80 : 23,258.40 = 4,415.20 : x
  2. Step 2: Convert to fraction form
    15,506.80/23,258.40 = 4,415.20/x
  3. Step 3: Cross multiply
    15,506.80x = 23,258.40 × 4,415.20
  4. Step 4: Simplify right side
    15,506.80x = 102,690,487.68
  5. Step 5: Solve for x
    x = 102,690,487.68/15,506.80
  6. Step 6: Final answer
    x = 6,622.29

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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.