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Finding the Fourth Proportional to 23,505.88, 35,260 and 7,712.52

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Solution

The fourth proportional to 23,505.88, 35,260 and 7,712.52 is: 11,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.88 : 35,260 = 7,712.52 : x
  2. Step 2: Convert to fraction form
    23,505.88/35,260 = 7,712.52/x
  3. Step 3: Cross multiply
    23,505.88x = 35,260 × 7,712.52
  4. Step 4: Simplify right side
    23,505.88x = 271,943,455.20
  5. Step 5: Solve for x
    x = 271,943,455.20/23,505.88
  6. Step 6: Final answer
    x = 11,569.17

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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.