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Finding the Fourth Proportional to 23,766.30, 35,614.10 and 10,427.01

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Solution

The fourth proportional to 23,766.30, 35,614.10 and 10,427.01 is: 15,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,766.30 : 35,614.10 = 10,427.01 : x
  2. Step 2: Convert to fraction form
    23,766.30/35,614.10 = 10,427.01/x
  3. Step 3: Cross multiply
    23,766.30x = 35,614.10 × 10,427.01
  4. Step 4: Simplify right side
    23,766.30x = 371,348,524.71
  5. Step 5: Solve for x
    x = 371,348,524.71/23,766.30
  6. Step 6: Final answer
    x = 15,625.00

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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.