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Finding the Fourth Proportional to 14,677.60, 21,998.40 and 9,997.60

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Solution

The fourth proportional to 14,677.60, 21,998.40 and 9,997.60 is: 14,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.60 : 21,998.40 = 9,997.60 : x
  2. Step 2: Convert to fraction form
    14,677.60/21,998.40 = 9,997.60/x
  3. Step 3: Cross multiply
    14,677.60x = 21,998.40 × 9,997.60
  4. Step 4: Simplify right side
    14,677.60x = 219,931,203.84
  5. Step 5: Solve for x
    x = 219,931,203.84/14,677.60
  6. Step 6: Final answer
    x = 14,984.14

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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.