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Finding the Fourth Proportional to 13,049.84, 19,541.36 and 7,200

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Solution

The fourth proportional to 13,049.84, 19,541.36 and 7,200 is: 10,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.84 : 19,541.36 = 7,200 : x
  2. Step 2: Convert to fraction form
    13,049.84/19,541.36 = 7,200/x
  3. Step 3: Cross multiply
    13,049.84x = 19,541.36 × 7,200
  4. Step 4: Simplify right side
    13,049.84x = 140,697,792
  5. Step 5: Solve for x
    x = 140,697,792/13,049.84
  6. Step 6: Final answer
    x = 10,781.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.