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Finding the Fourth Proportional to 12,755.63, 19,114.98 and 7,197.23

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Solution

The fourth proportional to 12,755.63, 19,114.98 and 7,197.23 is: 10,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.63 : 19,114.98 = 7,197.23 : x
  2. Step 2: Convert to fraction form
    12,755.63/19,114.98 = 7,197.23/x
  3. Step 3: Cross multiply
    12,755.63x = 19,114.98 × 7,197.23
  4. Step 4: Simplify right side
    12,755.63x = 137,574,811.93
  5. Step 5: Solve for x
    x = 137,574,811.93/12,755.63
  6. Step 6: Final answer
    x = 10,785.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.