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Finding the Fourth Proportional to 14,847.29, 22,281.19 and 7,827.02

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Solution

The fourth proportional to 14,847.29, 22,281.19 and 7,827.02 is: 11,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.29 : 22,281.19 = 7,827.02 : x
  2. Step 2: Convert to fraction form
    14,847.29/22,281.19 = 7,827.02/x
  3. Step 3: Cross multiply
    14,847.29x = 22,281.19 × 7,827.02
  4. Step 4: Simplify right side
    14,847.29x = 174,395,355.89
  5. Step 5: Solve for x
    x = 174,395,355.89/14,847.29
  6. Step 6: Final answer
    x = 11,745.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.