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Finding the Fourth Proportional to 19,709.02, 27,199.02 and 10,757.10

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Solution

The fourth proportional to 19,709.02, 27,199.02 and 10,757.10 is: 14,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.02 : 27,199.02 = 10,757.10 : x
  2. Step 2: Convert to fraction form
    19,709.02/27,199.02 = 10,757.10/x
  3. Step 3: Cross multiply
    19,709.02x = 27,199.02 × 10,757.10
  4. Step 4: Simplify right side
    19,709.02x = 292,582,720.38
  5. Step 5: Solve for x
    x = 292,582,720.38/19,709.02
  6. Step 6: Final answer
    x = 14,845.12

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Why These Related Problems?

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