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Finding the Fourth Proportional to 13,473.72, 20,111.35 and 11,897.40

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Solution

The fourth proportional to 13,473.72, 20,111.35 and 11,897.40 is: 17,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.72 : 20,111.35 = 11,897.40 : x
  2. Step 2: Convert to fraction form
    13,473.72/20,111.35 = 11,897.40/x
  3. Step 3: Cross multiply
    13,473.72x = 20,111.35 × 11,897.40
  4. Step 4: Simplify right side
    13,473.72x = 239,272,775.49
  5. Step 5: Solve for x
    x = 239,272,775.49/13,473.72
  6. Step 6: Final answer
    x = 17,758.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.