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Finding the Fourth Proportional to 19,803.38, 27,341.09 and 12,742.07

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Solution

The fourth proportional to 19,803.38, 27,341.09 and 12,742.07 is: 17,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.38 : 27,341.09 = 12,742.07 : x
  2. Step 2: Convert to fraction form
    19,803.38/27,341.09 = 12,742.07/x
  3. Step 3: Cross multiply
    19,803.38x = 27,341.09 × 12,742.07
  4. Step 4: Simplify right side
    19,803.38x = 348,381,882.24
  5. Step 5: Solve for x
    x = 348,381,882.24/19,803.38
  6. Step 6: Final answer
    x = 17,592.05

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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.