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Finding the Fourth Proportional to 23,590.40, 32,532.46 and 15,509.78

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Solution

The fourth proportional to 23,590.40, 32,532.46 and 15,509.78 is: 21,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,590.40 : 32,532.46 = 15,509.78 : x
  2. Step 2: Convert to fraction form
    23,590.40/32,532.46 = 15,509.78/x
  3. Step 3: Cross multiply
    23,590.40x = 32,532.46 × 15,509.78
  4. Step 4: Simplify right side
    23,590.40x = 504,571,297.46
  5. Step 5: Solve for x
    x = 504,571,297.46/23,590.40
  6. Step 6: Final answer
    x = 21,388.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.