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Finding the Fourth Proportional to 14,112.84, 19,475.88 and 7,825.32

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Solution

The fourth proportional to 14,112.84, 19,475.88 and 7,825.32 is: 10,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.84 : 19,475.88 = 7,825.32 : x
  2. Step 2: Convert to fraction form
    14,112.84/19,475.88 = 7,825.32/x
  3. Step 3: Cross multiply
    14,112.84x = 19,475.88 × 7,825.32
  4. Step 4: Simplify right side
    14,112.84x = 152,404,993.28
  5. Step 5: Solve for x
    x = 152,404,993.28/14,112.84
  6. Step 6: Final answer
    x = 10,799.03

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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.