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Finding the Fourth Proportional to 12,100.86, 16,685.19 and 9,577.98

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Solution

The fourth proportional to 12,100.86, 16,685.19 and 9,577.98 is: 13,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.86 : 16,685.19 = 9,577.98 : x
  2. Step 2: Convert to fraction form
    12,100.86/16,685.19 = 9,577.98/x
  3. Step 3: Cross multiply
    12,100.86x = 16,685.19 × 9,577.98
  4. Step 4: Simplify right side
    12,100.86x = 159,810,416.12
  5. Step 5: Solve for x
    x = 159,810,416.12/12,100.86
  6. Step 6: Final answer
    x = 13,206.53

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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.