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Finding the Fourth Proportional to 13,105.60, 19,666.50 and 5,314.48

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Solution

The fourth proportional to 13,105.60, 19,666.50 and 5,314.48 is: 7,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.60 : 19,666.50 = 5,314.48 : x
  2. Step 2: Convert to fraction form
    13,105.60/19,666.50 = 5,314.48/x
  3. Step 3: Cross multiply
    13,105.60x = 19,666.50 × 5,314.48
  4. Step 4: Simplify right side
    13,105.60x = 104,517,220.92
  5. Step 5: Solve for x
    x = 104,517,220.92/13,105.60
  6. Step 6: Final answer
    x = 7,975.00

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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.