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Finding the Fourth Proportional to 13,903.50, 20,856.14 and 5,582.42

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Solution

The fourth proportional to 13,903.50, 20,856.14 and 5,582.42 is: 8,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.50 : 20,856.14 = 5,582.42 : x
  2. Step 2: Convert to fraction form
    13,903.50/20,856.14 = 5,582.42/x
  3. Step 3: Cross multiply
    13,903.50x = 20,856.14 × 5,582.42
  4. Step 4: Simplify right side
    13,903.50x = 116,427,642.73
  5. Step 5: Solve for x
    x = 116,427,642.73/13,903.50
  6. Step 6: Final answer
    x = 8,373.98

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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.