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Finding the Fourth Proportional to 14,825.52, 20,460.87 and 8,537.76

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Solution

The fourth proportional to 14,825.52, 20,460.87 and 8,537.76 is: 11,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.52 : 20,460.87 = 8,537.76 : x
  2. Step 2: Convert to fraction form
    14,825.52/20,460.87 = 8,537.76/x
  3. Step 3: Cross multiply
    14,825.52x = 20,460.87 × 8,537.76
  4. Step 4: Simplify right side
    14,825.52x = 174,689,997.45
  5. Step 5: Solve for x
    x = 174,689,997.45/14,825.52
  6. Step 6: Final answer
    x = 11,783.06

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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.