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Finding the Fourth Proportional to 13,872.09, 19,143.63 and 7,903.74

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Solution

The fourth proportional to 13,872.09, 19,143.63 and 7,903.74 is: 10,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.09 : 19,143.63 = 7,903.74 : x
  2. Step 2: Convert to fraction form
    13,872.09/19,143.63 = 7,903.74/x
  3. Step 3: Cross multiply
    13,872.09x = 19,143.63 × 7,903.74
  4. Step 4: Simplify right side
    13,872.09x = 151,306,274.18
  5. Step 5: Solve for x
    x = 151,306,274.18/13,872.09
  6. Step 6: Final answer
    x = 10,907.24

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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.