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Finding the Fourth Proportional to 14,537.10, 21,805.74 and 5,177.48

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Solution

The fourth proportional to 14,537.10, 21,805.74 and 5,177.48 is: 7,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.10 : 21,805.74 = 5,177.48 : x
  2. Step 2: Convert to fraction form
    14,537.10/21,805.74 = 5,177.48/x
  3. Step 3: Cross multiply
    14,537.10x = 21,805.74 × 5,177.48
  4. Step 4: Simplify right side
    14,537.10x = 112,898,756.85
  5. Step 5: Solve for x
    x = 112,898,756.85/14,537.10
  6. Step 6: Final answer
    x = 7,766.25

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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.