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Finding the Fourth Proportional to 12,954.36, 19,430.74 and 4,633.98

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Solution

The fourth proportional to 12,954.36, 19,430.74 and 4,633.98 is: 6,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.36 : 19,430.74 = 4,633.98 : x
  2. Step 2: Convert to fraction form
    12,954.36/19,430.74 = 4,633.98/x
  3. Step 3: Cross multiply
    12,954.36x = 19,430.74 × 4,633.98
  4. Step 4: Simplify right side
    12,954.36x = 90,041,660.55
  5. Step 5: Solve for x
    x = 90,041,660.55/12,954.36
  6. Step 6: Final answer
    x = 6,950.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.