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Finding the Fourth Proportional to 14,188, 19,582.80 and 9,997.60

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Solution

The fourth proportional to 14,188, 19,582.80 and 9,997.60 is: 13,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188 : 19,582.80 = 9,997.60 : x
  2. Step 2: Convert to fraction form
    14,188/19,582.80 = 9,997.60/x
  3. Step 3: Cross multiply
    14,188x = 19,582.80 × 9,997.60
  4. Step 4: Simplify right side
    14,188x = 195,781,001.28
  5. Step 5: Solve for x
    x = 195,781,001.28/14,188
  6. Step 6: Final answer
    x = 13,799.06

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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.