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Finding the Fourth Proportional to 23,886.09, 35,844.12 and 9,096.30

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Solution

The fourth proportional to 23,886.09, 35,844.12 and 9,096.30 is: 13,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.09 : 35,844.12 = 9,096.30 : x
  2. Step 2: Convert to fraction form
    23,886.09/35,844.12 = 9,096.30/x
  3. Step 3: Cross multiply
    23,886.09x = 35,844.12 × 9,096.30
  4. Step 4: Simplify right side
    23,886.09x = 326,048,868.76
  5. Step 5: Solve for x
    x = 326,048,868.76/23,886.09
  6. Step 6: Final answer
    x = 13,650.16

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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.