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Finding the Fourth Proportional to 14,789.50, 22,184.16 and 4,259.80

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Solution

The fourth proportional to 14,789.50, 22,184.16 and 4,259.80 is: 6,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.50 : 22,184.16 = 4,259.80 : x
  2. Step 2: Convert to fraction form
    14,789.50/22,184.16 = 4,259.80/x
  3. Step 3: Cross multiply
    14,789.50x = 22,184.16 × 4,259.80
  4. Step 4: Simplify right side
    14,789.50x = 94,500,084.77
  5. Step 5: Solve for x
    x = 94,500,084.77/14,789.50
  6. Step 6: Final answer
    x = 6,389.67

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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.