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Finding the Fourth Proportional to 22,449.46, 30,978.14 and 13,017

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Solution

The fourth proportional to 22,449.46, 30,978.14 and 13,017 is: 17,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.46 : 30,978.14 = 13,017 : x
  2. Step 2: Convert to fraction form
    22,449.46/30,978.14 = 13,017/x
  3. Step 3: Cross multiply
    22,449.46x = 30,978.14 × 13,017
  4. Step 4: Simplify right side
    22,449.46x = 403,242,448.38
  5. Step 5: Solve for x
    x = 403,242,448.38/22,449.46
  6. Step 6: Final answer
    x = 17,962.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.