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Finding the Fourth Proportional to 19,850.04, 27,392.04 and 11,466

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Solution

The fourth proportional to 19,850.04, 27,392.04 and 11,466 is: 15,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.04 : 27,392.04 = 11,466 : x
  2. Step 2: Convert to fraction form
    19,850.04/27,392.04 = 11,466/x
  3. Step 3: Cross multiply
    19,850.04x = 27,392.04 × 11,466
  4. Step 4: Simplify right side
    19,850.04x = 314,077,130.64
  5. Step 5: Solve for x
    x = 314,077,130.64/19,850.04
  6. Step 6: Final answer
    x = 15,822.49

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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.