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Finding the Fourth Proportional to 24,102.90, 33,261.03 and 14,031.63

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Solution

The fourth proportional to 24,102.90, 33,261.03 and 14,031.63 is: 19,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.90 : 33,261.03 = 14,031.63 : x
  2. Step 2: Convert to fraction form
    24,102.90/33,261.03 = 14,031.63/x
  3. Step 3: Cross multiply
    24,102.90x = 33,261.03 × 14,031.63
  4. Step 4: Simplify right side
    24,102.90x = 466,706,466.38
  5. Step 5: Solve for x
    x = 466,706,466.38/24,102.90
  6. Step 6: Final answer
    x = 19,363.08

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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.