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Finding the Fourth Proportional to 14,283.94, 19,693.44 and 9,239.26

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Solution

The fourth proportional to 14,283.94, 19,693.44 and 9,239.26 is: 12,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.94 : 19,693.44 = 9,239.26 : x
  2. Step 2: Convert to fraction form
    14,283.94/19,693.44 = 9,239.26/x
  3. Step 3: Cross multiply
    14,283.94x = 19,693.44 × 9,239.26
  4. Step 4: Simplify right side
    14,283.94x = 181,952,812.45
  5. Step 5: Solve for x
    x = 181,952,812.45/14,283.94
  6. Step 6: Final answer
    x = 12,738.28

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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.