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Finding the Fourth Proportional to 13,033.17, 19,549.75 and 5,240.16

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Solution

The fourth proportional to 13,033.17, 19,549.75 and 5,240.16 is: 7,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.17 : 19,549.75 = 5,240.16 : x
  2. Step 2: Convert to fraction form
    13,033.17/19,549.75 = 5,240.16/x
  3. Step 3: Cross multiply
    13,033.17x = 19,549.75 × 5,240.16
  4. Step 4: Simplify right side
    13,033.17x = 102,443,817.96
  5. Step 5: Solve for x
    x = 102,443,817.96/13,033.17
  6. Step 6: Final answer
    x = 7,860.24

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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.