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Finding the Fourth Proportional to 21,895.15, 32,842.41 and 14,857.69

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Solution

The fourth proportional to 21,895.15, 32,842.41 and 14,857.69 is: 22,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.15 : 32,842.41 = 14,857.69 : x
  2. Step 2: Convert to fraction form
    21,895.15/32,842.41 = 14,857.69/x
  3. Step 3: Cross multiply
    21,895.15x = 32,842.41 × 14,857.69
  4. Step 4: Simplify right side
    21,895.15x = 487,962,346.63
  5. Step 5: Solve for x
    x = 487,962,346.63/21,895.15
  6. Step 6: Final answer
    x = 22,286.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.