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Finding the Fourth Proportional to 22,612.32, 31,206.06 and 14,119.47

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Solution

The fourth proportional to 22,612.32, 31,206.06 and 14,119.47 is: 19,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.32 : 31,206.06 = 14,119.47 : x
  2. Step 2: Convert to fraction form
    22,612.32/31,206.06 = 14,119.47/x
  3. Step 3: Cross multiply
    22,612.32x = 31,206.06 × 14,119.47
  4. Step 4: Simplify right side
    22,612.32x = 440,613,027.99
  5. Step 5: Solve for x
    x = 440,613,027.99/22,612.32
  6. Step 6: Final answer
    x = 19,485.53

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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.