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Finding the Fourth Proportional to 13,044.06, 19,570.92 and 7,782.12

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Solution

The fourth proportional to 13,044.06, 19,570.92 and 7,782.12 is: 11,676.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,044.06 : 19,570.92 = 7,782.12 : x
  2. Step 2: Convert to fraction form
    13,044.06/19,570.92 = 7,782.12/x
  3. Step 3: Cross multiply
    13,044.06x = 19,570.92 × 7,782.12
  4. Step 4: Simplify right side
    13,044.06x = 152,303,247.95
  5. Step 5: Solve for x
    x = 152,303,247.95/13,044.06
  6. Step 6: Final answer
    x = 11,676.06

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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.