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Finding the Fourth Proportional to 13,502.09, 18,632.93 and 7,534.01

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Solution

The fourth proportional to 13,502.09, 18,632.93 and 7,534.01 is: 10,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.09 : 18,632.93 = 7,534.01 : x
  2. Step 2: Convert to fraction form
    13,502.09/18,632.93 = 7,534.01/x
  3. Step 3: Cross multiply
    13,502.09x = 18,632.93 × 7,534.01
  4. Step 4: Simplify right side
    13,502.09x = 140,380,680.95
  5. Step 5: Solve for x
    x = 140,380,680.95/13,502.09
  6. Step 6: Final answer
    x = 10,396.96

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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.