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Finding the Fourth Proportional to 23,509.77, 35,242.17 and 8,714.71

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Solution

The fourth proportional to 23,509.77, 35,242.17 and 8,714.71 is: 13,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.77 : 35,242.17 = 8,714.71 : x
  2. Step 2: Convert to fraction form
    23,509.77/35,242.17 = 8,714.71/x
  3. Step 3: Cross multiply
    23,509.77x = 35,242.17 × 8,714.71
  4. Step 4: Simplify right side
    23,509.77x = 307,125,291.32
  5. Step 5: Solve for x
    x = 307,125,291.32/23,509.77
  6. Step 6: Final answer
    x = 13,063.73

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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.