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Finding the Fourth Proportional to 15,678, 23,521.89 and 4,584.93

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Solution

The fourth proportional to 15,678, 23,521.89 and 4,584.93 is: 6,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 23,521.89 = 4,584.93 : x
  2. Step 2: Convert to fraction form
    15,678/23,521.89 = 4,584.93/x
  3. Step 3: Cross multiply
    15,678x = 23,521.89 × 4,584.93
  4. Step 4: Simplify right side
    15,678x = 107,846,219.12
  5. Step 5: Solve for x
    x = 107,846,219.12/15,678
  6. Step 6: Final answer
    x = 6,878.83

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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.