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Finding the Fourth Proportional to 12,557.60, 18,845.76 and 4,781.60

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Solution

The fourth proportional to 12,557.60, 18,845.76 and 4,781.60 is: 7,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.60 : 18,845.76 = 4,781.60 : x
  2. Step 2: Convert to fraction form
    12,557.60/18,845.76 = 4,781.60/x
  3. Step 3: Cross multiply
    12,557.60x = 18,845.76 × 4,781.60
  4. Step 4: Simplify right side
    12,557.60x = 90,112,886.02
  5. Step 5: Solve for x
    x = 90,112,886.02/12,557.60
  6. Step 6: Final answer
    x = 7,175.96

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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.