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Finding the Fourth Proportional to 29,714.64, 41,012.28 and 17,137.68

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Solution

The fourth proportional to 29,714.64, 41,012.28 and 17,137.68 is: 23,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,714.64 : 41,012.28 = 17,137.68 : x
  2. Step 2: Convert to fraction form
    29,714.64/41,012.28 = 17,137.68/x
  3. Step 3: Cross multiply
    29,714.64x = 41,012.28 × 17,137.68
  4. Step 4: Simplify right side
    29,714.64x = 702,855,330.71
  5. Step 5: Solve for x
    x = 702,855,330.71/29,714.64
  6. Step 6: Final answer
    x = 23,653.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.