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Finding the Fourth Proportional to 13,053.60, 19,574.64 and 3,817.44

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Solution

The fourth proportional to 13,053.60, 19,574.64 and 3,817.44 is: 5,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.60 : 19,574.64 = 3,817.44 : x
  2. Step 2: Convert to fraction form
    13,053.60/19,574.64 = 3,817.44/x
  3. Step 3: Cross multiply
    13,053.60x = 19,574.64 × 3,817.44
  4. Step 4: Simplify right side
    13,053.60x = 74,725,013.72
  5. Step 5: Solve for x
    x = 74,725,013.72/13,053.60
  6. Step 6: Final answer
    x = 5,724.48

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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.