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Finding the Fourth Proportional to 23,346, 35,019.31 and 7,763.63

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Solution

The fourth proportional to 23,346, 35,019.31 and 7,763.63 is: 11,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,346 : 35,019.31 = 7,763.63 : x
  2. Step 2: Convert to fraction form
    23,346/35,019.31 = 7,763.63/x
  3. Step 3: Cross multiply
    23,346x = 35,019.31 × 7,763.63
  4. Step 4: Simplify right side
    23,346x = 271,876,965.70
  5. Step 5: Solve for x
    x = 271,876,965.70/23,346
  6. Step 6: Final answer
    x = 11,645.55

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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.