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Finding the Fourth Proportional to 14,024.74, 19,352.79 and 7,736.71

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Solution

The fourth proportional to 14,024.74, 19,352.79 and 7,736.71 is: 10,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.74 : 19,352.79 = 7,736.71 : x
  2. Step 2: Convert to fraction form
    14,024.74/19,352.79 = 7,736.71/x
  3. Step 3: Cross multiply
    14,024.74x = 19,352.79 × 7,736.71
  4. Step 4: Simplify right side
    14,024.74x = 149,726,788.47
  5. Step 5: Solve for x
    x = 149,726,788.47/14,024.74
  6. Step 6: Final answer
    x = 10,675.91

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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.