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Finding the Fourth Proportional to 12,157.56, 16,777.53 and 6,852.47

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Solution

The fourth proportional to 12,157.56, 16,777.53 and 6,852.47 is: 9,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.56 : 16,777.53 = 6,852.47 : x
  2. Step 2: Convert to fraction form
    12,157.56/16,777.53 = 6,852.47/x
  3. Step 3: Cross multiply
    12,157.56x = 16,777.53 × 6,852.47
  4. Step 4: Simplify right side
    12,157.56x = 114,967,437.11
  5. Step 5: Solve for x
    x = 114,967,437.11/12,157.56
  6. Step 6: Final answer
    x = 9,456.46

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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.