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Finding the Fourth Proportional to 14,804.52, 22,206.96 and 8,272.26

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Solution

The fourth proportional to 14,804.52, 22,206.96 and 8,272.26 is: 12,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.52 : 22,206.96 = 8,272.26 : x
  2. Step 2: Convert to fraction form
    14,804.52/22,206.96 = 8,272.26/x
  3. Step 3: Cross multiply
    14,804.52x = 22,206.96 × 8,272.26
  4. Step 4: Simplify right side
    14,804.52x = 183,701,746.93
  5. Step 5: Solve for x
    x = 183,701,746.93/14,804.52
  6. Step 6: Final answer
    x = 12,408.49

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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.