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Finding the Fourth Proportional to 23,380.64, 35,036.64 and 11,677.76

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Solution

The fourth proportional to 23,380.64, 35,036.64 and 11,677.76 is: 17,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,380.64 : 35,036.64 = 11,677.76 : x
  2. Step 2: Convert to fraction form
    23,380.64/35,036.64 = 11,677.76/x
  3. Step 3: Cross multiply
    23,380.64x = 35,036.64 × 11,677.76
  4. Step 4: Simplify right side
    23,380.64x = 409,149,473.13
  5. Step 5: Solve for x
    x = 409,149,473.13/23,380.64
  6. Step 6: Final answer
    x = 17,499.50

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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.