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Finding the Fourth Proportional to 14,973.68, 20,662.94 and 9,004.19

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Solution

The fourth proportional to 14,973.68, 20,662.94 and 9,004.19 is: 12,425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.68 : 20,662.94 = 9,004.19 : x
  2. Step 2: Convert to fraction form
    14,973.68/20,662.94 = 9,004.19/x
  3. Step 3: Cross multiply
    14,973.68x = 20,662.94 × 9,004.19
  4. Step 4: Simplify right side
    14,973.68x = 186,052,889.38
  5. Step 5: Solve for x
    x = 186,052,889.38/14,973.68
  6. Step 6: Final answer
    x = 12,425.33

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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.