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Finding the Fourth Proportional to 22,468.07, 33,702.24 and 9,985.16

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Solution

The fourth proportional to 22,468.07, 33,702.24 and 9,985.16 is: 14,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.07 : 33,702.24 = 9,985.16 : x
  2. Step 2: Convert to fraction form
    22,468.07/33,702.24 = 9,985.16/x
  3. Step 3: Cross multiply
    22,468.07x = 33,702.24 × 9,985.16
  4. Step 4: Simplify right side
    22,468.07x = 336,522,090.25
  5. Step 5: Solve for x
    x = 336,522,090.25/22,468.07
  6. Step 6: Final answer
    x = 14,977.80

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