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Finding the Fourth Proportional to 23,760.26, 35,638.29 and 7,124.01

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Solution

The fourth proportional to 23,760.26, 35,638.29 and 7,124.01 is: 10,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.26 : 35,638.29 = 7,124.01 : x
  2. Step 2: Convert to fraction form
    23,760.26/35,638.29 = 7,124.01/x
  3. Step 3: Cross multiply
    23,760.26x = 35,638.29 × 7,124.01
  4. Step 4: Simplify right side
    23,760.26x = 253,887,534.34
  5. Step 5: Solve for x
    x = 253,887,534.34/23,760.26
  6. Step 6: Final answer
    x = 10,685.39

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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.