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Finding the Fourth Proportional to 14,382.94, 19,838.23 and 9,600.47

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Solution

The fourth proportional to 14,382.94, 19,838.23 and 9,600.47 is: 13,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.94 : 19,838.23 = 9,600.47 : x
  2. Step 2: Convert to fraction form
    14,382.94/19,838.23 = 9,600.47/x
  3. Step 3: Cross multiply
    14,382.94x = 19,838.23 × 9,600.47
  4. Step 4: Simplify right side
    14,382.94x = 190,456,307.57
  5. Step 5: Solve for x
    x = 190,456,307.57/14,382.94
  6. Step 6: Final answer
    x = 13,241.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.