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Finding the Fourth Proportional to 16,714.74, 23,076.83 and 10,756.76

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Solution

The fourth proportional to 16,714.74, 23,076.83 and 10,756.76 is: 14,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.74 : 23,076.83 = 10,756.76 : x
  2. Step 2: Convert to fraction form
    16,714.74/23,076.83 = 10,756.76/x
  3. Step 3: Cross multiply
    16,714.74x = 23,076.83 × 10,756.76
  4. Step 4: Simplify right side
    16,714.74x = 248,231,921.87
  5. Step 5: Solve for x
    x = 248,231,921.87/16,714.74
  6. Step 6: Final answer
    x = 14,851.08

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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.