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Finding the Fourth Proportional to 12,307.34, 18,452.21 and 5,729.94

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Solution

The fourth proportional to 12,307.34, 18,452.21 and 5,729.94 is: 8,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.34 : 18,452.21 = 5,729.94 : x
  2. Step 2: Convert to fraction form
    12,307.34/18,452.21 = 5,729.94/x
  3. Step 3: Cross multiply
    12,307.34x = 18,452.21 × 5,729.94
  4. Step 4: Simplify right side
    12,307.34x = 105,730,027.52
  5. Step 5: Solve for x
    x = 105,730,027.52/12,307.34
  6. Step 6: Final answer
    x = 8,590.81

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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.