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Finding the Fourth Proportional to 23,590.98, 35,392.55 and 6,950.48

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Solution

The fourth proportional to 23,590.98, 35,392.55 and 6,950.48 is: 10,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.98 : 35,392.55 = 6,950.48 : x
  2. Step 2: Convert to fraction form
    23,590.98/35,392.55 = 6,950.48/x
  3. Step 3: Cross multiply
    23,590.98x = 35,392.55 × 6,950.48
  4. Step 4: Simplify right side
    23,590.98x = 245,994,999.21
  5. Step 5: Solve for x
    x = 245,994,999.21/23,590.98
  6. Step 6: Final answer
    x = 10,427.50

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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.