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Finding the Fourth Proportional to 13,048.74, 19,551.24 and 7,187.58

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Solution

The fourth proportional to 13,048.74, 19,551.24 and 7,187.58 is: 10,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.74 : 19,551.24 = 7,187.58 : x
  2. Step 2: Convert to fraction form
    13,048.74/19,551.24 = 7,187.58/x
  3. Step 3: Cross multiply
    13,048.74x = 19,551.24 × 7,187.58
  4. Step 4: Simplify right side
    13,048.74x = 140,526,101.60
  5. Step 5: Solve for x
    x = 140,526,101.60/13,048.74
  6. Step 6: Final answer
    x = 10,769.32

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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.