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Finding the Fourth Proportional to 23,656.40, 35,486.22 and 6,128

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Solution

The fourth proportional to 23,656.40, 35,486.22 and 6,128 is: 9,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.40 : 35,486.22 = 6,128 : x
  2. Step 2: Convert to fraction form
    23,656.40/35,486.22 = 6,128/x
  3. Step 3: Cross multiply
    23,656.40x = 35,486.22 × 6,128
  4. Step 4: Simplify right side
    23,656.40x = 217,459,556.16
  5. Step 5: Solve for x
    x = 217,459,556.16/23,656.40
  6. Step 6: Final answer
    x = 9,192.42

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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.