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Finding the Fourth Proportional to 13,371.40, 20,051.58 and 5,050

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Solution

The fourth proportional to 13,371.40, 20,051.58 and 5,050 is: 7,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371.40 : 20,051.58 = 5,050 : x
  2. Step 2: Convert to fraction form
    13,371.40/20,051.58 = 5,050/x
  3. Step 3: Cross multiply
    13,371.40x = 20,051.58 × 5,050
  4. Step 4: Simplify right side
    13,371.40x = 101,260,479.00
  5. Step 5: Solve for x
    x = 101,260,479.00/13,371.40
  6. Step 6: Final answer
    x = 7,572.92

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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.