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Finding the Fourth Proportional to 14,039.18, 21,040.55 and 5,709.50

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Solution

The fourth proportional to 14,039.18, 21,040.55 and 5,709.50 is: 8,556.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.18 : 21,040.55 = 5,709.50 : x
  2. Step 2: Convert to fraction form
    14,039.18/21,040.55 = 5,709.50/x
  3. Step 3: Cross multiply
    14,039.18x = 21,040.55 × 5,709.50
  4. Step 4: Simplify right side
    14,039.18x = 120,130,886.47
  5. Step 5: Solve for x
    x = 120,130,886.47/14,039.18
  6. Step 6: Final answer
    x = 8,556.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.