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Finding the Fourth Proportional to 15,782.09, 21,778.54 and 9,062.98

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Solution

The fourth proportional to 15,782.09, 21,778.54 and 9,062.98 is: 12,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.09 : 21,778.54 = 9,062.98 : x
  2. Step 2: Convert to fraction form
    15,782.09/21,778.54 = 9,062.98/x
  3. Step 3: Cross multiply
    15,782.09x = 21,778.54 × 9,062.98
  4. Step 4: Simplify right side
    15,782.09x = 197,378,395.35
  5. Step 5: Solve for x
    x = 197,378,395.35/15,782.09
  6. Step 6: Final answer
    x = 12,506.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.