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Finding the Fourth Proportional to 13,210.50, 19,820.73 and 8,539.44

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Solution

The fourth proportional to 13,210.50, 19,820.73 and 8,539.44 is: 12,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.50 : 19,820.73 = 8,539.44 : x
  2. Step 2: Convert to fraction form
    13,210.50/19,820.73 = 8,539.44/x
  3. Step 3: Cross multiply
    13,210.50x = 19,820.73 × 8,539.44
  4. Step 4: Simplify right side
    13,210.50x = 169,257,934.59
  5. Step 5: Solve for x
    x = 169,257,934.59/13,210.50
  6. Step 6: Final answer
    x = 12,812.38

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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.