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Finding the Fourth Proportional to 23,596.48, 35,370.11 and 9,566.19

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Solution

The fourth proportional to 23,596.48, 35,370.11 and 9,566.19 is: 14,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.48 : 35,370.11 = 9,566.19 : x
  2. Step 2: Convert to fraction form
    23,596.48/35,370.11 = 9,566.19/x
  3. Step 3: Cross multiply
    23,596.48x = 35,370.11 × 9,566.19
  4. Step 4: Simplify right side
    23,596.48x = 338,357,216.50
  5. Step 5: Solve for x
    x = 338,357,216.50/23,596.48
  6. Step 6: Final answer
    x = 14,339.31

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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.