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Finding the Fourth Proportional to 14,656.50, 20,226.69 and 8,032.50

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Solution

The fourth proportional to 14,656.50, 20,226.69 and 8,032.50 is: 11,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.50 : 20,226.69 = 8,032.50 : x
  2. Step 2: Convert to fraction form
    14,656.50/20,226.69 = 8,032.50/x
  3. Step 3: Cross multiply
    14,656.50x = 20,226.69 × 8,032.50
  4. Step 4: Simplify right side
    14,656.50x = 162,470,887.43
  5. Step 5: Solve for x
    x = 162,470,887.43/14,656.50
  6. Step 6: Final answer
    x = 11,085.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.