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Finding the Fourth Proportional to 14,172.18, 19,573.92 and 9,448.26

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Solution

The fourth proportional to 14,172.18, 19,573.92 and 9,448.26 is: 13,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.18 : 19,573.92 = 9,448.26 : x
  2. Step 2: Convert to fraction form
    14,172.18/19,573.92 = 9,448.26/x
  3. Step 3: Cross multiply
    14,172.18x = 19,573.92 × 9,448.26
  4. Step 4: Simplify right side
    14,172.18x = 184,939,485.38
  5. Step 5: Solve for x
    x = 184,939,485.38/14,172.18
  6. Step 6: Final answer
    x = 13,049.47

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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.