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Finding the Fourth Proportional to 13,073.08, 19,570.74 and 7,863.16

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Solution

The fourth proportional to 13,073.08, 19,570.74 and 7,863.16 is: 11,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.08 : 19,570.74 = 7,863.16 : x
  2. Step 2: Convert to fraction form
    13,073.08/19,570.74 = 7,863.16/x
  3. Step 3: Cross multiply
    13,073.08x = 19,570.74 × 7,863.16
  4. Step 4: Simplify right side
    13,073.08x = 153,887,859.94
  5. Step 5: Solve for x
    x = 153,887,859.94/13,073.08
  6. Step 6: Final answer
    x = 11,771.35

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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.