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Finding the Fourth Proportional to 14,182.48, 19,554.12 and 9,138

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Solution

The fourth proportional to 14,182.48, 19,554.12 and 9,138 is: 12,599.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.48 : 19,554.12 = 9,138 : x
  2. Step 2: Convert to fraction form
    14,182.48/19,554.12 = 9,138/x
  3. Step 3: Cross multiply
    14,182.48x = 19,554.12 × 9,138
  4. Step 4: Simplify right side
    14,182.48x = 178,685,548.56
  5. Step 5: Solve for x
    x = 178,685,548.56/14,182.48
  6. Step 6: Final answer
    x = 12,599.03

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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.