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Finding the Fourth Proportional to 13,529.95, 18,673.09 and 7,562.86

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Solution

The fourth proportional to 13,529.95, 18,673.09 and 7,562.86 is: 10,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.95 : 18,673.09 = 7,562.86 : x
  2. Step 2: Convert to fraction form
    13,529.95/18,673.09 = 7,562.86/x
  3. Step 3: Cross multiply
    13,529.95x = 18,673.09 × 7,562.86
  4. Step 4: Simplify right side
    13,529.95x = 141,221,965.44
  5. Step 5: Solve for x
    x = 141,221,965.44/13,529.95
  6. Step 6: Final answer
    x = 10,437.73

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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.