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Finding the Fourth Proportional to 20,444.48, 30,669.24 and 7,298.24

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Solution

The fourth proportional to 20,444.48, 30,669.24 and 7,298.24 is: 10,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,444.48 : 30,669.24 = 7,298.24 : x
  2. Step 2: Convert to fraction form
    20,444.48/30,669.24 = 7,298.24/x
  3. Step 3: Cross multiply
    20,444.48x = 30,669.24 × 7,298.24
  4. Step 4: Simplify right side
    20,444.48x = 223,831,474.14
  5. Step 5: Solve for x
    x = 223,831,474.14/20,444.48
  6. Step 6: Final answer
    x = 10,948.26

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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.