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Finding the Fourth Proportional to 21,894.90, 32,842.02 and 14,857.41

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Solution

The fourth proportional to 21,894.90, 32,842.02 and 14,857.41 is: 22,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.90 : 32,842.02 = 14,857.41 : x
  2. Step 2: Convert to fraction form
    21,894.90/32,842.02 = 14,857.41/x
  3. Step 3: Cross multiply
    21,894.90x = 32,842.02 × 14,857.41
  4. Step 4: Simplify right side
    21,894.90x = 487,947,356.37
  5. Step 5: Solve for x
    x = 487,947,356.37/21,894.90
  6. Step 6: Final answer
    x = 22,285.89

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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.