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Finding the Fourth Proportional to 15,206.40, 22,811.04 and 6,319.86

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Solution

The fourth proportional to 15,206.40, 22,811.04 and 6,319.86 is: 9,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.40 : 22,811.04 = 6,319.86 : x
  2. Step 2: Convert to fraction form
    15,206.40/22,811.04 = 6,319.86/x
  3. Step 3: Cross multiply
    15,206.40x = 22,811.04 × 6,319.86
  4. Step 4: Simplify right side
    15,206.40x = 144,162,579.25
  5. Step 5: Solve for x
    x = 144,162,579.25/15,206.40
  6. Step 6: Final answer
    x = 9,480.39

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