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Finding the Fourth Proportional to 13,554.34, 18,704.82 and 7,586.06

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Solution

The fourth proportional to 13,554.34, 18,704.82 and 7,586.06 is: 10,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.34 : 18,704.82 = 7,586.06 : x
  2. Step 2: Convert to fraction form
    13,554.34/18,704.82 = 7,586.06/x
  3. Step 3: Cross multiply
    13,554.34x = 18,704.82 × 7,586.06
  4. Step 4: Simplify right side
    13,554.34x = 141,895,821.73
  5. Step 5: Solve for x
    x = 141,895,821.73/13,554.34
  6. Step 6: Final answer
    x = 10,468.67

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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.