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Finding the Fourth Proportional to 14,597.25, 20,144.24 and 8,309.63

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Solution

The fourth proportional to 14,597.25, 20,144.24 and 8,309.63 is: 11,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.25 : 20,144.24 = 8,309.63 : x
  2. Step 2: Convert to fraction form
    14,597.25/20,144.24 = 8,309.63/x
  3. Step 3: Cross multiply
    14,597.25x = 20,144.24 × 8,309.63
  4. Step 4: Simplify right side
    14,597.25x = 167,391,038.76
  5. Step 5: Solve for x
    x = 167,391,038.76/14,597.25
  6. Step 6: Final answer
    x = 11,467.30

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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.