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Finding the Fourth Proportional to 17,434.56, 24,059.58 and 9,984

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Solution

The fourth proportional to 17,434.56, 24,059.58 and 9,984 is: 13,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,434.56 : 24,059.58 = 9,984 : x
  2. Step 2: Convert to fraction form
    17,434.56/24,059.58 = 9,984/x
  3. Step 3: Cross multiply
    17,434.56x = 24,059.58 × 9,984
  4. Step 4: Simplify right side
    17,434.56x = 240,210,846.72
  5. Step 5: Solve for x
    x = 240,210,846.72/17,434.56
  6. Step 6: Final answer
    x = 13,777.86

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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.