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Finding the Fourth Proportional to 23,945.34, 35,903.34 and 9,138.36

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Solution

The fourth proportional to 23,945.34, 35,903.34 and 9,138.36 is: 13,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,945.34 : 35,903.34 = 9,138.36 : x
  2. Step 2: Convert to fraction form
    23,945.34/35,903.34 = 9,138.36/x
  3. Step 3: Cross multiply
    23,945.34x = 35,903.34 × 9,138.36
  4. Step 4: Simplify right side
    23,945.34x = 328,097,646.12
  5. Step 5: Solve for x
    x = 328,097,646.12/23,945.34
  6. Step 6: Final answer
    x = 13,701.94

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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.