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Finding the Fourth Proportional to 14,015.74, 19,341.70 and 7,642.33

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Solution

The fourth proportional to 14,015.74, 19,341.70 and 7,642.33 is: 10,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015.74 : 19,341.70 = 7,642.33 : x
  2. Step 2: Convert to fraction form
    14,015.74/19,341.70 = 7,642.33/x
  3. Step 3: Cross multiply
    14,015.74x = 19,341.70 × 7,642.33
  4. Step 4: Simplify right side
    14,015.74x = 147,815,519.24
  5. Step 5: Solve for x
    x = 147,815,519.24/14,015.74
  6. Step 6: Final answer
    x = 10,546.40

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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.