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Finding the Fourth Proportional to 23,809.55, 35,717.00 and 9,769.01

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Solution

The fourth proportional to 23,809.55, 35,717.00 and 9,769.01 is: 14,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.55 : 35,717.00 = 9,769.01 : x
  2. Step 2: Convert to fraction form
    23,809.55/35,717.00 = 9,769.01/x
  3. Step 3: Cross multiply
    23,809.55x = 35,717.00 × 9,769.01
  4. Step 4: Simplify right side
    23,809.55x = 348,919,681.32
  5. Step 5: Solve for x
    x = 348,919,681.32/23,809.55
  6. Step 6: Final answer
    x = 14,654.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.