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Finding the Fourth Proportional to 13,507.33, 18,640.50 and 7,538.88

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Solution

The fourth proportional to 13,507.33, 18,640.50 and 7,538.88 is: 10,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.33 : 18,640.50 = 7,538.88 : x
  2. Step 2: Convert to fraction form
    13,507.33/18,640.50 = 7,538.88/x
  3. Step 3: Cross multiply
    13,507.33x = 18,640.50 × 7,538.88
  4. Step 4: Simplify right side
    13,507.33x = 140,528,492.64
  5. Step 5: Solve for x
    x = 140,528,492.64/13,507.33
  6. Step 6: Final answer
    x = 10,403.87

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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.