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Finding the Fourth Proportional to 10,091.04, 15,231.34 and 10,091.04

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Solution

The fourth proportional to 10,091.04, 15,231.34 and 10,091.04 is: 15,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.04 : 15,231.34 = 10,091.04 : x
  2. Step 2: Convert to fraction form
    10,091.04/15,231.34 = 10,091.04/x
  3. Step 3: Cross multiply
    10,091.04x = 15,231.34 × 10,091.04
  4. Step 4: Simplify right side
    10,091.04x = 153,699,979.51
  5. Step 5: Solve for x
    x = 153,699,979.51/10,091.04
  6. Step 6: Final answer
    x = 15,231.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.