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Finding the Fourth Proportional to 14,548.16, 20,076.64 and 7,924.16

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Solution

The fourth proportional to 14,548.16, 20,076.64 and 7,924.16 is: 10,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.16 : 20,076.64 = 7,924.16 : x
  2. Step 2: Convert to fraction form
    14,548.16/20,076.64 = 7,924.16/x
  3. Step 3: Cross multiply
    14,548.16x = 20,076.64 × 7,924.16
  4. Step 4: Simplify right side
    14,548.16x = 159,090,507.62
  5. Step 5: Solve for x
    x = 159,090,507.62/14,548.16
  6. Step 6: Final answer
    x = 10,935.44

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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.