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Finding the Fourth Proportional to 15,308.64, 22,965.60 and 4,922.88

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Solution

The fourth proportional to 15,308.64, 22,965.60 and 4,922.88 is: 7,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,308.64 : 22,965.60 = 4,922.88 : x
  2. Step 2: Convert to fraction form
    15,308.64/22,965.60 = 4,922.88/x
  3. Step 3: Cross multiply
    15,308.64x = 22,965.60 × 4,922.88
  4. Step 4: Simplify right side
    15,308.64x = 113,056,892.93
  5. Step 5: Solve for x
    x = 113,056,892.93/15,308.64
  6. Step 6: Final answer
    x = 7,385.17

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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.