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Finding the Fourth Proportional to 23,574.66, 35,367.59 and 6,935.24

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Solution

The fourth proportional to 23,574.66, 35,367.59 and 6,935.24 is: 10,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.66 : 35,367.59 = 6,935.24 : x
  2. Step 2: Convert to fraction form
    23,574.66/35,367.59 = 6,935.24/x
  3. Step 3: Cross multiply
    23,574.66x = 35,367.59 × 6,935.24
  4. Step 4: Simplify right side
    23,574.66x = 245,282,565.37
  5. Step 5: Solve for x
    x = 245,282,565.37/23,574.66
  6. Step 6: Final answer
    x = 10,404.50

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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.