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Finding the Fourth Proportional to 23,567.35, 35,337.65 and 7,768.09

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Solution

The fourth proportional to 23,567.35, 35,337.65 and 7,768.09 is: 11,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.35 : 35,337.65 = 7,768.09 : x
  2. Step 2: Convert to fraction form
    23,567.35/35,337.65 = 7,768.09/x
  3. Step 3: Cross multiply
    23,567.35x = 35,337.65 × 7,768.09
  4. Step 4: Simplify right side
    23,567.35x = 274,506,045.59
  5. Step 5: Solve for x
    x = 274,506,045.59/23,567.35
  6. Step 6: Final answer
    x = 11,647.73

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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.