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Finding the Fourth Proportional to 19,473.76, 29,228 and 9,091.36

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Solution

The fourth proportional to 19,473.76, 29,228 and 9,091.36 is: 13,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.76 : 29,228 = 9,091.36 : x
  2. Step 2: Convert to fraction form
    19,473.76/29,228 = 9,091.36/x
  3. Step 3: Cross multiply
    19,473.76x = 29,228 × 9,091.36
  4. Step 4: Simplify right side
    19,473.76x = 265,722,270.08
  5. Step 5: Solve for x
    x = 265,722,270.08/19,473.76
  6. Step 6: Final answer
    x = 13,645.14

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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.