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Finding the Fourth Proportional to 13,438.74, 18,539.01 and 11,572.50

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Solution

The fourth proportional to 13,438.74, 18,539.01 and 11,572.50 is: 15,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.74 : 18,539.01 = 11,572.50 : x
  2. Step 2: Convert to fraction form
    13,438.74/18,539.01 = 11,572.50/x
  3. Step 3: Cross multiply
    13,438.74x = 18,539.01 × 11,572.50
  4. Step 4: Simplify right side
    13,438.74x = 214,542,693.23
  5. Step 5: Solve for x
    x = 214,542,693.23/13,438.74
  6. Step 6: Final answer
    x = 15,964.49

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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.