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Finding the Fourth Proportional to 23,492.14, 35,244 and 6,852.34

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Solution

The fourth proportional to 23,492.14, 35,244 and 6,852.34 is: 10,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.14 : 35,244 = 6,852.34 : x
  2. Step 2: Convert to fraction form
    23,492.14/35,244 = 6,852.34/x
  3. Step 3: Cross multiply
    23,492.14x = 35,244 × 6,852.34
  4. Step 4: Simplify right side
    23,492.14x = 241,503,870.96
  5. Step 5: Solve for x
    x = 241,503,870.96/23,492.14
  6. Step 6: Final answer
    x = 10,280.20

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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.