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Finding the Fourth Proportional to 22,758.63, 34,114.48 and 8,714.82

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Solution

The fourth proportional to 22,758.63, 34,114.48 and 8,714.82 is: 13,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.63 : 34,114.48 = 8,714.82 : x
  2. Step 2: Convert to fraction form
    22,758.63/34,114.48 = 8,714.82/x
  3. Step 3: Cross multiply
    22,758.63x = 34,114.48 × 8,714.82
  4. Step 4: Simplify right side
    22,758.63x = 297,301,552.59
  5. Step 5: Solve for x
    x = 297,301,552.59/22,758.63
  6. Step 6: Final answer
    x = 13,063.24

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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.