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Finding the Fourth Proportional to 16,378.48, 24,571.86 and 7,013.80

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Solution

The fourth proportional to 16,378.48, 24,571.86 and 7,013.80 is: 10,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.48 : 24,571.86 = 7,013.80 : x
  2. Step 2: Convert to fraction form
    16,378.48/24,571.86 = 7,013.80/x
  3. Step 3: Cross multiply
    16,378.48x = 24,571.86 × 7,013.80
  4. Step 4: Simplify right side
    16,378.48x = 172,342,111.67
  5. Step 5: Solve for x
    x = 172,342,111.67/16,378.48
  6. Step 6: Final answer
    x = 10,522.47

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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.