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Finding the Fourth Proportional to 13,432.44, 18,533.88 and 7,462.84

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Solution

The fourth proportional to 13,432.44, 18,533.88 and 7,462.84 is: 10,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.44 : 18,533.88 = 7,462.84 : x
  2. Step 2: Convert to fraction form
    13,432.44/18,533.88 = 7,462.84/x
  3. Step 3: Cross multiply
    13,432.44x = 18,533.88 × 7,462.84
  4. Step 4: Simplify right side
    13,432.44x = 138,315,381.02
  5. Step 5: Solve for x
    x = 138,315,381.02/13,432.44
  6. Step 6: Final answer
    x = 10,297.12

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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.