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Finding the Fourth Proportional to 29,047.69, 43,574.91 and 12,409.66

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Solution

The fourth proportional to 29,047.69, 43,574.91 and 12,409.66 is: 18,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,047.69 : 43,574.91 = 12,409.66 : x
  2. Step 2: Convert to fraction form
    29,047.69/43,574.91 = 12,409.66/x
  3. Step 3: Cross multiply
    29,047.69x = 43,574.91 × 12,409.66
  4. Step 4: Simplify right side
    29,047.69x = 540,749,817.63
  5. Step 5: Solve for x
    x = 540,749,817.63/29,047.69
  6. Step 6: Final answer
    x = 18,615.93

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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.