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Finding the Fourth Proportional to 23,565.35, 35,348.34 and 7,772.01

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Solution

The fourth proportional to 23,565.35, 35,348.34 and 7,772.01 is: 11,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.35 : 35,348.34 = 7,772.01 : x
  2. Step 2: Convert to fraction form
    23,565.35/35,348.34 = 7,772.01/x
  3. Step 3: Cross multiply
    23,565.35x = 35,348.34 × 7,772.01
  4. Step 4: Simplify right side
    23,565.35x = 274,727,651.96
  5. Step 5: Solve for x
    x = 274,727,651.96/23,565.35
  6. Step 6: Final answer
    x = 11,658.12

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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.