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Finding the Fourth Proportional to 15,676.16, 21,606.72 and 10,077.44

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Solution

The fourth proportional to 15,676.16, 21,606.72 and 10,077.44 is: 13,889.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.16 : 21,606.72 = 10,077.44 : x
  2. Step 2: Convert to fraction form
    15,676.16/21,606.72 = 10,077.44/x
  3. Step 3: Cross multiply
    15,676.16x = 21,606.72 × 10,077.44
  4. Step 4: Simplify right side
    15,676.16x = 217,740,424.40
  5. Step 5: Solve for x
    x = 217,740,424.40/15,676.16
  6. Step 6: Final answer
    x = 13,889.91

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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.