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Finding the Fourth Proportional to 23,455.86, 35,186.69 and 7,656.66

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Solution

The fourth proportional to 23,455.86, 35,186.69 and 7,656.66 is: 11,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,455.86 : 35,186.69 = 7,656.66 : x
  2. Step 2: Convert to fraction form
    23,455.86/35,186.69 = 7,656.66/x
  3. Step 3: Cross multiply
    23,455.86x = 35,186.69 × 7,656.66
  4. Step 4: Simplify right side
    23,455.86x = 269,412,497.93
  5. Step 5: Solve for x
    x = 269,412,497.93/23,455.86
  6. Step 6: Final answer
    x = 11,485.93

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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.