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Finding the Fourth Proportional to 19,538.28, 29,290.14 and 11,313

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Solution

The fourth proportional to 19,538.28, 29,290.14 and 11,313 is: 16,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.28 : 29,290.14 = 11,313 : x
  2. Step 2: Convert to fraction form
    19,538.28/29,290.14 = 11,313/x
  3. Step 3: Cross multiply
    19,538.28x = 29,290.14 × 11,313
  4. Step 4: Simplify right side
    19,538.28x = 331,359,353.82
  5. Step 5: Solve for x
    x = 331,359,353.82/19,538.28
  6. Step 6: Final answer
    x = 16,959.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.