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Finding the Fourth Proportional to 13,821.60, 19,073.76 and 7,533.98

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Solution

The fourth proportional to 13,821.60, 19,073.76 and 7,533.98 is: 10,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.60 : 19,073.76 = 7,533.98 : x
  2. Step 2: Convert to fraction form
    13,821.60/19,073.76 = 7,533.98/x
  3. Step 3: Cross multiply
    13,821.60x = 19,073.76 × 7,533.98
  4. Step 4: Simplify right side
    13,821.60x = 143,701,231.00
  5. Step 5: Solve for x
    x = 143,701,231.00/13,821.60
  6. Step 6: Final answer
    x = 10,396.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.