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Finding the Fourth Proportional to 23,654.34, 35,475.46 and 7,010.49

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Solution

The fourth proportional to 23,654.34, 35,475.46 and 7,010.49 is: 10,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.34 : 35,475.46 = 7,010.49 : x
  2. Step 2: Convert to fraction form
    23,654.34/35,475.46 = 7,010.49/x
  3. Step 3: Cross multiply
    23,654.34x = 35,475.46 × 7,010.49
  4. Step 4: Simplify right side
    23,654.34x = 248,700,251.36
  5. Step 5: Solve for x
    x = 248,700,251.36/23,654.34
  6. Step 6: Final answer
    x = 10,513.94

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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.