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Finding the Fourth Proportional to 23,655.09, 35,478.06 and 7,857.66

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Solution

The fourth proportional to 23,655.09, 35,478.06 and 7,857.66 is: 11,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,655.09 : 35,478.06 = 7,857.66 : x
  2. Step 2: Convert to fraction form
    23,655.09/35,478.06 = 7,857.66/x
  3. Step 3: Cross multiply
    23,655.09x = 35,478.06 × 7,857.66
  4. Step 4: Simplify right side
    23,655.09x = 278,774,532.94
  5. Step 5: Solve for x
    x = 278,774,532.94/23,655.09
  6. Step 6: Final answer
    x = 11,784.97

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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.