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Finding the Fourth Proportional to 21,737.70, 32,469.12 and 17,342.64

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Solution

The fourth proportional to 21,737.70, 32,469.12 and 17,342.64 is: 25,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.70 : 32,469.12 = 17,342.64 : x
  2. Step 2: Convert to fraction form
    21,737.70/32,469.12 = 17,342.64/x
  3. Step 3: Cross multiply
    21,737.70x = 32,469.12 × 17,342.64
  4. Step 4: Simplify right side
    21,737.70x = 563,100,259.28
  5. Step 5: Solve for x
    x = 563,100,259.28/21,737.70
  6. Step 6: Final answer
    x = 25,904.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.