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Finding the Fourth Proportional to 14,709.87, 20,303.60 and 8,423.19

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Solution

The fourth proportional to 14,709.87, 20,303.60 and 8,423.19 is: 11,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.87 : 20,303.60 = 8,423.19 : x
  2. Step 2: Convert to fraction form
    14,709.87/20,303.60 = 8,423.19/x
  3. Step 3: Cross multiply
    14,709.87x = 20,303.60 × 8,423.19
  4. Step 4: Simplify right side
    14,709.87x = 171,021,038.37
  5. Step 5: Solve for x
    x = 171,021,038.37/14,709.87
  6. Step 6: Final answer
    x = 11,626.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.