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Finding the Fourth Proportional to 21,400.17, 32,102.98 and 8,256.30

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Solution

The fourth proportional to 21,400.17, 32,102.98 and 8,256.30 is: 12,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.17 : 32,102.98 = 8,256.30 : x
  2. Step 2: Convert to fraction form
    21,400.17/32,102.98 = 8,256.30/x
  3. Step 3: Cross multiply
    21,400.17x = 32,102.98 × 8,256.30
  4. Step 4: Simplify right side
    21,400.17x = 265,051,739.19
  5. Step 5: Solve for x
    x = 265,051,739.19/21,400.17
  6. Step 6: Final answer
    x = 12,385.50

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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.