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Finding the Fourth Proportional to 13,033.38, 19,549.98 and 5,242.08

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Solution

The fourth proportional to 13,033.38, 19,549.98 and 5,242.08 is: 7,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.38 : 19,549.98 = 5,242.08 : x
  2. Step 2: Convert to fraction form
    13,033.38/19,549.98 = 5,242.08/x
  3. Step 3: Cross multiply
    13,033.38x = 19,549.98 × 5,242.08
  4. Step 4: Simplify right side
    13,033.38x = 102,482,559.16
  5. Step 5: Solve for x
    x = 102,482,559.16/13,033.38
  6. Step 6: Final answer
    x = 7,863.08

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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.