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Finding the Fourth Proportional to 14,346.57, 21,479.93 and 7,311.41

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Solution

The fourth proportional to 14,346.57, 21,479.93 and 7,311.41 is: 10,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.57 : 21,479.93 = 7,311.41 : x
  2. Step 2: Convert to fraction form
    14,346.57/21,479.93 = 7,311.41/x
  3. Step 3: Cross multiply
    14,346.57x = 21,479.93 × 7,311.41
  4. Step 4: Simplify right side
    14,346.57x = 157,048,575.00
  5. Step 5: Solve for x
    x = 157,048,575.00/14,346.57
  6. Step 6: Final answer
    x = 10,946.77

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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.