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Finding the Fourth Proportional to 22,468.44, 33,702.80 and 9,985.53

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Solution

The fourth proportional to 22,468.44, 33,702.80 and 9,985.53 is: 14,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.44 : 33,702.80 = 9,985.53 : x
  2. Step 2: Convert to fraction form
    22,468.44/33,702.80 = 9,985.53/x
  3. Step 3: Cross multiply
    22,468.44x = 33,702.80 × 9,985.53
  4. Step 4: Simplify right side
    22,468.44x = 336,540,270.56
  5. Step 5: Solve for x
    x = 336,540,270.56/22,468.44
  6. Step 6: Final answer
    x = 14,978.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.