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Finding the Fourth Proportional to 12,764.24, 17,612.88 and 7,098.56

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Solution

The fourth proportional to 12,764.24, 17,612.88 and 7,098.56 is: 9,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.24 : 17,612.88 = 7,098.56 : x
  2. Step 2: Convert to fraction form
    12,764.24/17,612.88 = 7,098.56/x
  3. Step 3: Cross multiply
    12,764.24x = 17,612.88 × 7,098.56
  4. Step 4: Simplify right side
    12,764.24x = 125,026,085.45
  5. Step 5: Solve for x
    x = 125,026,085.45/12,764.24
  6. Step 6: Final answer
    x = 9,795.03

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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.