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Finding the Fourth Proportional to 23,802.96, 35,702.34 and 14,440.20

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Solution

The fourth proportional to 23,802.96, 35,702.34 and 14,440.20 is: 21,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.96 : 35,702.34 = 14,440.20 : x
  2. Step 2: Convert to fraction form
    23,802.96/35,702.34 = 14,440.20/x
  3. Step 3: Cross multiply
    23,802.96x = 35,702.34 × 14,440.20
  4. Step 4: Simplify right side
    23,802.96x = 515,548,930.07
  5. Step 5: Solve for x
    x = 515,548,930.07/23,802.96
  6. Step 6: Final answer
    x = 21,659.03

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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.