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Finding the Fourth Proportional to 22,774.32, 31,427.73 and 12,702.60

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Solution

The fourth proportional to 22,774.32, 31,427.73 and 12,702.60 is: 17,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.32 : 31,427.73 = 12,702.60 : x
  2. Step 2: Convert to fraction form
    22,774.32/31,427.73 = 12,702.60/x
  3. Step 3: Cross multiply
    22,774.32x = 31,427.73 × 12,702.60
  4. Step 4: Simplify right side
    22,774.32x = 399,213,883.10
  5. Step 5: Solve for x
    x = 399,213,883.10/22,774.32
  6. Step 6: Final answer
    x = 17,529.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.