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Finding the Fourth Proportional to 14,328.69, 21,494.41 and 5,564.29

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Solution

The fourth proportional to 14,328.69, 21,494.41 and 5,564.29 is: 8,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328.69 : 21,494.41 = 5,564.29 : x
  2. Step 2: Convert to fraction form
    14,328.69/21,494.41 = 5,564.29/x
  3. Step 3: Cross multiply
    14,328.69x = 21,494.41 × 5,564.29
  4. Step 4: Simplify right side
    14,328.69x = 119,601,102.80
  5. Step 5: Solve for x
    x = 119,601,102.80/14,328.69
  6. Step 6: Final answer
    x = 8,346.97

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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.