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Finding the Fourth Proportional to 14,796.24, 20,415.84 and 9,420.84

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Solution

The fourth proportional to 14,796.24, 20,415.84 and 9,420.84 is: 12,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.24 : 20,415.84 = 9,420.84 : x
  2. Step 2: Convert to fraction form
    14,796.24/20,415.84 = 9,420.84/x
  3. Step 3: Cross multiply
    14,796.24x = 20,415.84 × 9,420.84
  4. Step 4: Simplify right side
    14,796.24x = 192,334,362.11
  5. Step 5: Solve for x
    x = 192,334,362.11/14,796.24
  6. Step 6: Final answer
    x = 12,998.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.