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Finding the Fourth Proportional to 15,695.26, 23,548.95 and 6,923.98

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Solution

The fourth proportional to 15,695.26, 23,548.95 and 6,923.98 is: 10,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.26 : 23,548.95 = 6,923.98 : x
  2. Step 2: Convert to fraction form
    15,695.26/23,548.95 = 6,923.98/x
  3. Step 3: Cross multiply
    15,695.26x = 23,548.95 × 6,923.98
  4. Step 4: Simplify right side
    15,695.26x = 163,052,458.82
  5. Step 5: Solve for x
    x = 163,052,458.82/15,695.26
  6. Step 6: Final answer
    x = 10,388.64

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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.