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Finding the Fourth Proportional to 13,205.53, 18,224.13 and 7,541.20

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Solution

The fourth proportional to 13,205.53, 18,224.13 and 7,541.20 is: 10,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.53 : 18,224.13 = 7,541.20 : x
  2. Step 2: Convert to fraction form
    13,205.53/18,224.13 = 7,541.20/x
  3. Step 3: Cross multiply
    13,205.53x = 18,224.13 × 7,541.20
  4. Step 4: Simplify right side
    13,205.53x = 137,431,809.16
  5. Step 5: Solve for x
    x = 137,431,809.16/13,205.53
  6. Step 6: Final answer
    x = 10,407.14

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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.