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Finding the Fourth Proportional to 23,640.66, 35,461.10 and 7,001

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Solution

The fourth proportional to 23,640.66, 35,461.10 and 7,001 is: 10,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.66 : 35,461.10 = 7,001 : x
  2. Step 2: Convert to fraction form
    23,640.66/35,461.10 = 7,001/x
  3. Step 3: Cross multiply
    23,640.66x = 35,461.10 × 7,001
  4. Step 4: Simplify right side
    23,640.66x = 248,263,161.10
  5. Step 5: Solve for x
    x = 248,263,161.10/23,640.66
  6. Step 6: Final answer
    x = 10,501.53

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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.