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Finding the Fourth Proportional to 14,394.14, 21,585.51 and 6,996.41

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Solution

The fourth proportional to 14,394.14, 21,585.51 and 6,996.41 is: 10,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394.14 : 21,585.51 = 6,996.41 : x
  2. Step 2: Convert to fraction form
    14,394.14/21,585.51 = 6,996.41/x
  3. Step 3: Cross multiply
    14,394.14x = 21,585.51 × 6,996.41
  4. Step 4: Simplify right side
    14,394.14x = 151,020,970.09
  5. Step 5: Solve for x
    x = 151,020,970.09/14,394.14
  6. Step 6: Final answer
    x = 10,491.84

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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.