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Finding the Fourth Proportional to 22,742.68, 31,380.72 and 12,670.86

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Solution

The fourth proportional to 22,742.68, 31,380.72 and 12,670.86 is: 17,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.68 : 31,380.72 = 12,670.86 : x
  2. Step 2: Convert to fraction form
    22,742.68/31,380.72 = 12,670.86/x
  3. Step 3: Cross multiply
    22,742.68x = 31,380.72 × 12,670.86
  4. Step 4: Simplify right side
    22,742.68x = 397,620,709.82
  5. Step 5: Solve for x
    x = 397,620,709.82/22,742.68
  6. Step 6: Final answer
    x = 17,483.46

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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.