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Finding the Fourth Proportional to 17,427.42, 24,038.16 and 11,685

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Solution

The fourth proportional to 17,427.42, 24,038.16 and 11,685 is: 16,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427.42 : 24,038.16 = 11,685 : x
  2. Step 2: Convert to fraction form
    17,427.42/24,038.16 = 11,685/x
  3. Step 3: Cross multiply
    17,427.42x = 24,038.16 × 11,685
  4. Step 4: Simplify right side
    17,427.42x = 280,885,899.60
  5. Step 5: Solve for x
    x = 280,885,899.60/17,427.42
  6. Step 6: Final answer
    x = 16,117.47

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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.