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Finding the Fourth Proportional to 24,409.56, 33,674 and 14,337.80

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Solution

The fourth proportional to 24,409.56, 33,674 and 14,337.80 is: 19,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.56 : 33,674 = 14,337.80 : x
  2. Step 2: Convert to fraction form
    24,409.56/33,674 = 14,337.80/x
  3. Step 3: Cross multiply
    24,409.56x = 33,674 × 14,337.80
  4. Step 4: Simplify right side
    24,409.56x = 482,811,077.20
  5. Step 5: Solve for x
    x = 482,811,077.20/24,409.56
  6. Step 6: Final answer
    x = 19,779.59

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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.