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Finding the Fourth Proportional to 23,774.20, 32,800.32 and 13,702.32

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Solution

The fourth proportional to 23,774.20, 32,800.32 and 13,702.32 is: 18,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.20 : 32,800.32 = 13,702.32 : x
  2. Step 2: Convert to fraction form
    23,774.20/32,800.32 = 13,702.32/x
  3. Step 3: Cross multiply
    23,774.20x = 32,800.32 × 13,702.32
  4. Step 4: Simplify right side
    23,774.20x = 449,440,480.74
  5. Step 5: Solve for x
    x = 449,440,480.74/23,774.20
  6. Step 6: Final answer
    x = 18,904.55

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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.