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Finding the Fourth Proportional to 17,001.92, 25,507.84 and 7,136

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Solution

The fourth proportional to 17,001.92, 25,507.84 and 7,136 is: 10,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.92 : 25,507.84 = 7,136 : x
  2. Step 2: Convert to fraction form
    17,001.92/25,507.84 = 7,136/x
  3. Step 3: Cross multiply
    17,001.92x = 25,507.84 × 7,136
  4. Step 4: Simplify right side
    17,001.92x = 182,023,946.24
  5. Step 5: Solve for x
    x = 182,023,946.24/17,001.92
  6. Step 6: Final answer
    x = 10,706.08

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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.