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Finding the Fourth Proportional to 30,804.60, 42,509.70 and 18,233.40

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Solution

The fourth proportional to 30,804.60, 42,509.70 and 18,233.40 is: 25,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.60 : 42,509.70 = 18,233.40 : x
  2. Step 2: Convert to fraction form
    30,804.60/42,509.70 = 18,233.40/x
  3. Step 3: Cross multiply
    30,804.60x = 42,509.70 × 18,233.40
  4. Step 4: Simplify right side
    30,804.60x = 775,096,363.98
  5. Step 5: Solve for x
    x = 775,096,363.98/30,804.60
  6. Step 6: Final answer
    x = 25,161.71

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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.