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Finding the Fourth Proportional to 13,403.70, 20,078.66 and 6,390.50

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Solution

The fourth proportional to 13,403.70, 20,078.66 and 6,390.50 is: 9,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.70 : 20,078.66 = 6,390.50 : x
  2. Step 2: Convert to fraction form
    13,403.70/20,078.66 = 6,390.50/x
  3. Step 3: Cross multiply
    13,403.70x = 20,078.66 × 6,390.50
  4. Step 4: Simplify right side
    13,403.70x = 128,312,676.73
  5. Step 5: Solve for x
    x = 128,312,676.73/13,403.70
  6. Step 6: Final answer
    x = 9,572.93

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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.