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Finding the Fourth Proportional to 14,972.86, 22,327.21 and 14,237.07

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Solution

The fourth proportional to 14,972.86, 22,327.21 and 14,237.07 is: 21,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.86 : 22,327.21 = 14,237.07 : x
  2. Step 2: Convert to fraction form
    14,972.86/22,327.21 = 14,237.07/x
  3. Step 3: Cross multiply
    14,972.86x = 22,327.21 × 14,237.07
  4. Step 4: Simplify right side
    14,972.86x = 317,873,980.49
  5. Step 5: Solve for x
    x = 317,873,980.49/14,972.86
  6. Step 6: Final answer
    x = 21,230.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.