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Finding the Fourth Proportional to 23,666.94, 35,502.24 and 7,871.40

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Solution

The fourth proportional to 23,666.94, 35,502.24 and 7,871.40 is: 11,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,666.94 : 35,502.24 = 7,871.40 : x
  2. Step 2: Convert to fraction form
    23,666.94/35,502.24 = 7,871.40/x
  3. Step 3: Cross multiply
    23,666.94x = 35,502.24 × 7,871.40
  4. Step 4: Simplify right side
    23,666.94x = 279,452,331.94
  5. Step 5: Solve for x
    x = 279,452,331.94/23,666.94
  6. Step 6: Final answer
    x = 11,807.71

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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.