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Finding the Fourth Proportional to 22,497.15, 33,747.55 and 7,702.10

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Solution

The fourth proportional to 22,497.15, 33,747.55 and 7,702.10 is: 11,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.15 : 33,747.55 = 7,702.10 : x
  2. Step 2: Convert to fraction form
    22,497.15/33,747.55 = 7,702.10/x
  3. Step 3: Cross multiply
    22,497.15x = 33,747.55 × 7,702.10
  4. Step 4: Simplify right side
    22,497.15x = 259,927,004.86
  5. Step 5: Solve for x
    x = 259,927,004.86/22,497.15
  6. Step 6: Final answer
    x = 11,553.77

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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.