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Finding the Fourth Proportional to 13,033.16, 19,549.76 and 5,240.16

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Solution

The fourth proportional to 13,033.16, 19,549.76 and 5,240.16 is: 7,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.16 : 19,549.76 = 5,240.16 : x
  2. Step 2: Convert to fraction form
    13,033.16/19,549.76 = 5,240.16/x
  3. Step 3: Cross multiply
    13,033.16x = 19,549.76 × 5,240.16
  4. Step 4: Simplify right side
    13,033.16x = 102,443,870.36
  5. Step 5: Solve for x
    x = 102,443,870.36/13,033.16
  6. Step 6: Final answer
    x = 7,860.25

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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.