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Finding the Fourth Proportional to 14,154.53, 21,232.09 and 5,148.34

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Solution

The fourth proportional to 14,154.53, 21,232.09 and 5,148.34 is: 7,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.53 : 21,232.09 = 5,148.34 : x
  2. Step 2: Convert to fraction form
    14,154.53/21,232.09 = 5,148.34/x
  3. Step 3: Cross multiply
    14,154.53x = 21,232.09 × 5,148.34
  4. Step 4: Simplify right side
    14,154.53x = 109,309,971.59
  5. Step 5: Solve for x
    x = 109,309,971.59/14,154.53
  6. Step 6: Final answer
    x = 7,722.62

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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.