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Finding the Fourth Proportional to 14,509.57, 21,751.60 and 5,750.64

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Solution

The fourth proportional to 14,509.57, 21,751.60 and 5,750.64 is: 8,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.57 : 21,751.60 = 5,750.64 : x
  2. Step 2: Convert to fraction form
    14,509.57/21,751.60 = 5,750.64/x
  3. Step 3: Cross multiply
    14,509.57x = 21,751.60 × 5,750.64
  4. Step 4: Simplify right side
    14,509.57x = 125,085,621.02
  5. Step 5: Solve for x
    x = 125,085,621.02/14,509.57
  6. Step 6: Final answer
    x = 8,620.90

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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.