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Finding the Fourth Proportional to 14,214.47, 21,309.64 and 5,889.29

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Solution

The fourth proportional to 14,214.47, 21,309.64 and 5,889.29 is: 8,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.47 : 21,309.64 = 5,889.29 : x
  2. Step 2: Convert to fraction form
    14,214.47/21,309.64 = 5,889.29/x
  3. Step 3: Cross multiply
    14,214.47x = 21,309.64 × 5,889.29
  4. Step 4: Simplify right side
    14,214.47x = 125,498,528.48
  5. Step 5: Solve for x
    x = 125,498,528.48/14,214.47
  6. Step 6: Final answer
    x = 8,828.93

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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.