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Finding the Fourth Proportional to 23,598.91, 35,400.57 and 7,804

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Solution

The fourth proportional to 23,598.91, 35,400.57 and 7,804 is: 11,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598.91 : 35,400.57 = 7,804 : x
  2. Step 2: Convert to fraction form
    23,598.91/35,400.57 = 7,804/x
  3. Step 3: Cross multiply
    23,598.91x = 35,400.57 × 7,804
  4. Step 4: Simplify right side
    23,598.91x = 276,266,048.28
  5. Step 5: Solve for x
    x = 276,266,048.28/23,598.91
  6. Step 6: Final answer
    x = 11,706.73

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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.