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Finding the Fourth Proportional to 23,440, 35,165.76 and 7,024

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Solution

The fourth proportional to 23,440, 35,165.76 and 7,024 is: 10,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,440 : 35,165.76 = 7,024 : x
  2. Step 2: Convert to fraction form
    23,440/35,165.76 = 7,024/x
  3. Step 3: Cross multiply
    23,440x = 35,165.76 × 7,024
  4. Step 4: Simplify right side
    23,440x = 247,004,298.24
  5. Step 5: Solve for x
    x = 247,004,298.24/23,440
  6. Step 6: Final answer
    x = 10,537.73

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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.