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Finding the Fourth Proportional to 12,800.72, 17,663.72 and 9,445.36

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Solution

The fourth proportional to 12,800.72, 17,663.72 and 9,445.36 is: 13,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.72 : 17,663.72 = 9,445.36 : x
  2. Step 2: Convert to fraction form
    12,800.72/17,663.72 = 9,445.36/x
  3. Step 3: Cross multiply
    12,800.72x = 17,663.72 × 9,445.36
  4. Step 4: Simplify right side
    12,800.72x = 166,840,194.34
  5. Step 5: Solve for x
    x = 166,840,194.34/12,800.72
  6. Step 6: Final answer
    x = 13,033.66

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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.