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Finding the Fourth Proportional to 13,586.70, 18,748.35 and 7,617

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Solution

The fourth proportional to 13,586.70, 18,748.35 and 7,617 is: 10,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.70 : 18,748.35 = 7,617 : x
  2. Step 2: Convert to fraction form
    13,586.70/18,748.35 = 7,617/x
  3. Step 3: Cross multiply
    13,586.70x = 18,748.35 × 7,617
  4. Step 4: Simplify right side
    13,586.70x = 142,806,181.95
  5. Step 5: Solve for x
    x = 142,806,181.95/13,586.70
  6. Step 6: Final answer
    x = 10,510.73

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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.