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Finding the Fourth Proportional to 23,797.56, 35,696.58 and 9,753.99

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Solution

The fourth proportional to 23,797.56, 35,696.58 and 9,753.99 is: 14,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.56 : 35,696.58 = 9,753.99 : x
  2. Step 2: Convert to fraction form
    23,797.56/35,696.58 = 9,753.99/x
  3. Step 3: Cross multiply
    23,797.56x = 35,696.58 × 9,753.99
  4. Step 4: Simplify right side
    23,797.56x = 348,184,084.35
  5. Step 5: Solve for x
    x = 348,184,084.35/23,797.56
  6. Step 6: Final answer
    x = 14,631.08

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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.