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Finding the Fourth Proportional to 19,297.02, 28,959.37 and 8,211.50

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Solution

The fourth proportional to 19,297.02, 28,959.37 and 8,211.50 is: 12,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.02 : 28,959.37 = 8,211.50 : x
  2. Step 2: Convert to fraction form
    19,297.02/28,959.37 = 8,211.50/x
  3. Step 3: Cross multiply
    19,297.02x = 28,959.37 × 8,211.50
  4. Step 4: Simplify right side
    19,297.02x = 237,799,701.43
  5. Step 5: Solve for x
    x = 237,799,701.43/19,297.02
  6. Step 6: Final answer
    x = 12,323.13

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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.