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Finding the Fourth Proportional to 15,657.10, 23,493.17 and 7,335.77

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Solution

The fourth proportional to 15,657.10, 23,493.17 and 7,335.77 is: 11,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.10 : 23,493.17 = 7,335.77 : x
  2. Step 2: Convert to fraction form
    15,657.10/23,493.17 = 7,335.77/x
  3. Step 3: Cross multiply
    15,657.10x = 23,493.17 × 7,335.77
  4. Step 4: Simplify right side
    15,657.10x = 172,340,392.56
  5. Step 5: Solve for x
    x = 172,340,392.56/15,657.10
  6. Step 6: Final answer
    x = 11,007.17

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