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Finding the Fourth Proportional to 13,920.76, 19,211.86 and 7,634.36

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Solution

The fourth proportional to 13,920.76, 19,211.86 and 7,634.36 is: 10,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.76 : 19,211.86 = 7,634.36 : x
  2. Step 2: Convert to fraction form
    13,920.76/19,211.86 = 7,634.36/x
  3. Step 3: Cross multiply
    13,920.76x = 19,211.86 × 7,634.36
  4. Step 4: Simplify right side
    13,920.76x = 146,670,255.51
  5. Step 5: Solve for x
    x = 146,670,255.51/13,920.76
  6. Step 6: Final answer
    x = 10,536.08

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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.