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Finding the Fourth Proportional to 13,820.95, 19,073.64 and 7,533.73

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Solution

The fourth proportional to 13,820.95, 19,073.64 and 7,533.73 is: 10,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.95 : 19,073.64 = 7,533.73 : x
  2. Step 2: Convert to fraction form
    13,820.95/19,073.64 = 7,533.73/x
  3. Step 3: Cross multiply
    13,820.95x = 19,073.64 × 7,533.73
  4. Step 4: Simplify right side
    13,820.95x = 143,695,653.88
  5. Step 5: Solve for x
    x = 143,695,653.88/13,820.95
  6. Step 6: Final answer
    x = 10,396.94

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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.