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Finding the Fourth Proportional to 15,584.72, 23,379 and 6,349.52

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Solution

The fourth proportional to 15,584.72, 23,379 and 6,349.52 is: 9,525.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.72 : 23,379 = 6,349.52 : x
  2. Step 2: Convert to fraction form
    15,584.72/23,379 = 6,349.52/x
  3. Step 3: Cross multiply
    15,584.72x = 23,379 × 6,349.52
  4. Step 4: Simplify right side
    15,584.72x = 148,445,428.08
  5. Step 5: Solve for x
    x = 148,445,428.08/15,584.72
  6. Step 6: Final answer
    x = 9,525.06

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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.