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Finding the Fourth Proportional to 19,922.25, 27,492.71 and 11,090.25

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Solution

The fourth proportional to 19,922.25, 27,492.71 and 11,090.25 is: 15,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.25 : 27,492.71 = 11,090.25 : x
  2. Step 2: Convert to fraction form
    19,922.25/27,492.71 = 11,090.25/x
  3. Step 3: Cross multiply
    19,922.25x = 27,492.71 × 11,090.25
  4. Step 4: Simplify right side
    19,922.25x = 304,900,971.63
  5. Step 5: Solve for x
    x = 304,900,971.63/19,922.25
  6. Step 6: Final answer
    x = 15,304.55

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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.