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Finding the Fourth Proportional to 14,970.98, 20,661.13 and 8,257.22

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Solution

The fourth proportional to 14,970.98, 20,661.13 and 8,257.22 is: 11,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.98 : 20,661.13 = 8,257.22 : x
  2. Step 2: Convert to fraction form
    14,970.98/20,661.13 = 8,257.22/x
  3. Step 3: Cross multiply
    14,970.98x = 20,661.13 × 8,257.22
  4. Step 4: Simplify right side
    14,970.98x = 170,603,495.86
  5. Step 5: Solve for x
    x = 170,603,495.86/14,970.98
  6. Step 6: Final answer
    x = 11,395.61

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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.