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Finding the Fourth Proportional to 23,106.93, 34,656.78 and 7,524.45

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Solution

The fourth proportional to 23,106.93, 34,656.78 and 7,524.45 is: 11,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.93 : 34,656.78 = 7,524.45 : x
  2. Step 2: Convert to fraction form
    23,106.93/34,656.78 = 7,524.45/x
  3. Step 3: Cross multiply
    23,106.93x = 34,656.78 × 7,524.45
  4. Step 4: Simplify right side
    23,106.93x = 260,773,208.27
  5. Step 5: Solve for x
    x = 260,773,208.27/23,106.93
  6. Step 6: Final answer
    x = 11,285.50

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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.