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Finding the Fourth Proportional to 17,070.14, 25,605 and 6,681.80

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Solution

The fourth proportional to 17,070.14, 25,605 and 6,681.80 is: 10,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,070.14 : 25,605 = 6,681.80 : x
  2. Step 2: Convert to fraction form
    17,070.14/25,605 = 6,681.80/x
  3. Step 3: Cross multiply
    17,070.14x = 25,605 × 6,681.80
  4. Step 4: Simplify right side
    17,070.14x = 171,087,489
  5. Step 5: Solve for x
    x = 171,087,489/17,070.14
  6. Step 6: Final answer
    x = 10,022.62

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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.