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Finding the Fourth Proportional to 23,820.42, 35,705.42 and 8,010.40

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Solution

The fourth proportional to 23,820.42, 35,705.42 and 8,010.40 is: 12,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.42 : 35,705.42 = 8,010.40 : x
  2. Step 2: Convert to fraction form
    23,820.42/35,705.42 = 8,010.40/x
  3. Step 3: Cross multiply
    23,820.42x = 35,705.42 × 8,010.40
  4. Step 4: Simplify right side
    23,820.42x = 286,014,696.37
  5. Step 5: Solve for x
    x = 286,014,696.37/23,820.42
  6. Step 6: Final answer
    x = 12,007.12

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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.