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Finding the Fourth Proportional to 23,582.48, 35,378.91 and 7,792.34

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Solution

The fourth proportional to 23,582.48, 35,378.91 and 7,792.34 is: 11,690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.48 : 35,378.91 = 7,792.34 : x
  2. Step 2: Convert to fraction form
    23,582.48/35,378.91 = 7,792.34/x
  3. Step 3: Cross multiply
    23,582.48x = 35,378.91 × 7,792.34
  4. Step 4: Simplify right side
    23,582.48x = 275,684,318.65
  5. Step 5: Solve for x
    x = 275,684,318.65/23,582.48
  6. Step 6: Final answer
    x = 11,690.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.