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Finding the Fourth Proportional to 22,592.25, 31,175.08 and 13,033.01

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Solution

The fourth proportional to 22,592.25, 31,175.08 and 13,033.01 is: 17,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.25 : 31,175.08 = 13,033.01 : x
  2. Step 2: Convert to fraction form
    22,592.25/31,175.08 = 13,033.01/x
  3. Step 3: Cross multiply
    22,592.25x = 31,175.08 × 13,033.01
  4. Step 4: Simplify right side
    22,592.25x = 406,304,908.35
  5. Step 5: Solve for x
    x = 406,304,908.35/22,592.25
  6. Step 6: Final answer
    x = 17,984.26

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1.5x scale

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.