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Finding the Fourth Proportional to 21,873.66, 30,188.53 and 12,440.40

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Solution

The fourth proportional to 21,873.66, 30,188.53 and 12,440.40 is: 17,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.66 : 30,188.53 = 12,440.40 : x
  2. Step 2: Convert to fraction form
    21,873.66/30,188.53 = 12,440.40/x
  3. Step 3: Cross multiply
    21,873.66x = 30,188.53 × 12,440.40
  4. Step 4: Simplify right side
    21,873.66x = 375,557,237.67
  5. Step 5: Solve for x
    x = 375,557,237.67/21,873.66
  6. Step 6: Final answer
    x = 17,169.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.