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Finding the Fourth Proportional to 14,406.66, 19,881.42 and 8,033.07

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Solution

The fourth proportional to 14,406.66, 19,881.42 and 8,033.07 is: 11,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.66 : 19,881.42 = 8,033.07 : x
  2. Step 2: Convert to fraction form
    14,406.66/19,881.42 = 8,033.07/x
  3. Step 3: Cross multiply
    14,406.66x = 19,881.42 × 8,033.07
  4. Step 4: Simplify right side
    14,406.66x = 159,708,838.56
  5. Step 5: Solve for x
    x = 159,708,838.56/14,406.66
  6. Step 6: Final answer
    x = 11,085.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.