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Finding the Fourth Proportional to 13,133.43, 19,657.01 and 9,996.50

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Solution

The fourth proportional to 13,133.43, 19,657.01 and 9,996.50 is: 14,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.43 : 19,657.01 = 9,996.50 : x
  2. Step 2: Convert to fraction form
    13,133.43/19,657.01 = 9,996.50/x
  3. Step 3: Cross multiply
    13,133.43x = 19,657.01 × 9,996.50
  4. Step 4: Simplify right side
    13,133.43x = 196,501,374.60
  5. Step 5: Solve for x
    x = 196,501,374.60/13,133.43
  6. Step 6: Final answer
    x = 14,961.92

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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.