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Finding the Fourth Proportional to 14,697.86, 20,282.94 and 12,570.66

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Solution

The fourth proportional to 14,697.86, 20,282.94 and 12,570.66 is: 17,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.86 : 20,282.94 = 12,570.66 : x
  2. Step 2: Convert to fraction form
    14,697.86/20,282.94 = 12,570.66/x
  3. Step 3: Cross multiply
    14,697.86x = 20,282.94 × 12,570.66
  4. Step 4: Simplify right side
    14,697.86x = 254,969,942.54
  5. Step 5: Solve for x
    x = 254,969,942.54/14,697.86
  6. Step 6: Final answer
    x = 17,347.43

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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.