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Finding the Fourth Proportional to 14,714.66, 22,042.14 and 11,758.10

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Solution

The fourth proportional to 14,714.66, 22,042.14 and 11,758.10 is: 17,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.66 : 22,042.14 = 11,758.10 : x
  2. Step 2: Convert to fraction form
    14,714.66/22,042.14 = 11,758.10/x
  3. Step 3: Cross multiply
    14,714.66x = 22,042.14 × 11,758.10
  4. Step 4: Simplify right side
    14,714.66x = 259,173,686.33
  5. Step 5: Solve for x
    x = 259,173,686.33/14,714.66
  6. Step 6: Final answer
    x = 17,613.30

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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.