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Finding the Fourth Proportional to 14,006.54, 21,009.39 and 5,686.36

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Solution

The fourth proportional to 14,006.54, 21,009.39 and 5,686.36 is: 8,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.54 : 21,009.39 = 5,686.36 : x
  2. Step 2: Convert to fraction form
    14,006.54/21,009.39 = 5,686.36/x
  3. Step 3: Cross multiply
    14,006.54x = 21,009.39 × 5,686.36
  4. Step 4: Simplify right side
    14,006.54x = 119,466,954.92
  5. Step 5: Solve for x
    x = 119,466,954.92/14,006.54
  6. Step 6: Final answer
    x = 8,529.37

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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.