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Finding the Fourth Proportional to 19,984.16, 27,577.98 and 11,031.66

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Solution

The fourth proportional to 19,984.16, 27,577.98 and 11,031.66 is: 15,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.16 : 27,577.98 = 11,031.66 : x
  2. Step 2: Convert to fraction form
    19,984.16/27,577.98 = 11,031.66/x
  3. Step 3: Cross multiply
    19,984.16x = 27,577.98 × 11,031.66
  4. Step 4: Simplify right side
    19,984.16x = 304,230,733.38
  5. Step 5: Solve for x
    x = 304,230,733.38/19,984.16
  6. Step 6: Final answer
    x = 15,223.60

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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.