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Finding the Fourth Proportional to 15,771.58, 23,653.96 and 6,409.20

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Solution

The fourth proportional to 15,771.58, 23,653.96 and 6,409.20 is: 9,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.58 : 23,653.96 = 6,409.20 : x
  2. Step 2: Convert to fraction form
    15,771.58/23,653.96 = 6,409.20/x
  3. Step 3: Cross multiply
    15,771.58x = 23,653.96 × 6,409.20
  4. Step 4: Simplify right side
    15,771.58x = 151,602,960.43
  5. Step 5: Solve for x
    x = 151,602,960.43/15,771.58
  6. Step 6: Final answer
    x = 9,612.41

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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.