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Finding the Fourth Proportional to 16,502.69, 24,762.21 and 7,738.28

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Solution

The fourth proportional to 16,502.69, 24,762.21 and 7,738.28 is: 11,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.69 : 24,762.21 = 7,738.28 : x
  2. Step 2: Convert to fraction form
    16,502.69/24,762.21 = 7,738.28/x
  3. Step 3: Cross multiply
    16,502.69x = 24,762.21 × 7,738.28
  4. Step 4: Simplify right side
    16,502.69x = 191,616,914.40
  5. Step 5: Solve for x
    x = 191,616,914.40/16,502.69
  6. Step 6: Final answer
    x = 11,611.25

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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.