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Finding the Fourth Proportional to 13,963.02, 20,941.08 and 8,342.24

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Solution

The fourth proportional to 13,963.02, 20,941.08 and 8,342.24 is: 12,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.02 : 20,941.08 = 8,342.24 : x
  2. Step 2: Convert to fraction form
    13,963.02/20,941.08 = 8,342.24/x
  3. Step 3: Cross multiply
    13,963.02x = 20,941.08 × 8,342.24
  4. Step 4: Simplify right side
    13,963.02x = 174,695,410.51
  5. Step 5: Solve for x
    x = 174,695,410.51/13,963.02
  6. Step 6: Final answer
    x = 12,511.29

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1.5x scale

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.