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Finding the Fourth Proportional to 15,355.68, 23,028.64 and 4,964.96

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Solution

The fourth proportional to 15,355.68, 23,028.64 and 4,964.96 is: 7,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,355.68 : 23,028.64 = 4,964.96 : x
  2. Step 2: Convert to fraction form
    15,355.68/23,028.64 = 4,964.96/x
  3. Step 3: Cross multiply
    15,355.68x = 23,028.64 × 4,964.96
  4. Step 4: Simplify right side
    15,355.68x = 114,336,276.45
  5. Step 5: Solve for x
    x = 114,336,276.45/15,355.68
  6. Step 6: Final answer
    x = 7,445.86

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Why These Related Problems?

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