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Finding the Fourth Proportional to 14,340.21, 19,789.02 and 8,052.63

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Solution

The fourth proportional to 14,340.21, 19,789.02 and 8,052.63 is: 11,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.21 : 19,789.02 = 8,052.63 : x
  2. Step 2: Convert to fraction form
    14,340.21/19,789.02 = 8,052.63/x
  3. Step 3: Cross multiply
    14,340.21x = 19,789.02 × 8,052.63
  4. Step 4: Simplify right side
    14,340.21x = 159,353,656.12
  5. Step 5: Solve for x
    x = 159,353,656.12/14,340.21
  6. Step 6: Final answer
    x = 11,112.37

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Why These Related Problems?

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