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Finding the Fourth Proportional to 23,781.60, 32,819.04 and 14,348.16

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Solution

The fourth proportional to 23,781.60, 32,819.04 and 14,348.16 is: 19,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.60 : 32,819.04 = 14,348.16 : x
  2. Step 2: Convert to fraction form
    23,781.60/32,819.04 = 14,348.16/x
  3. Step 3: Cross multiply
    23,781.60x = 32,819.04 × 14,348.16
  4. Step 4: Simplify right side
    23,781.60x = 470,892,836.97
  5. Step 5: Solve for x
    x = 470,892,836.97/23,781.60
  6. Step 6: Final answer
    x = 19,800.72

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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.