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Finding the Fourth Proportional to 19,904.16, 29,847.12 and 9,504.48

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Solution

The fourth proportional to 19,904.16, 29,847.12 and 9,504.48 is: 14,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.16 : 29,847.12 = 9,504.48 : x
  2. Step 2: Convert to fraction form
    19,904.16/29,847.12 = 9,504.48/x
  3. Step 3: Cross multiply
    19,904.16x = 29,847.12 × 9,504.48
  4. Step 4: Simplify right side
    19,904.16x = 283,681,355.10
  5. Step 5: Solve for x
    x = 283,681,355.10/19,904.16
  6. Step 6: Final answer
    x = 14,252.37

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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.