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Finding the Fourth Proportional to 18,586.50, 25,642.07 and 10,624.46

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Solution

The fourth proportional to 18,586.50, 25,642.07 and 10,624.46 is: 14,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.50 : 25,642.07 = 10,624.46 : x
  2. Step 2: Convert to fraction form
    18,586.50/25,642.07 = 10,624.46/x
  3. Step 3: Cross multiply
    18,586.50x = 25,642.07 × 10,624.46
  4. Step 4: Simplify right side
    18,586.50x = 272,432,965.70
  5. Step 5: Solve for x
    x = 272,432,965.70/18,586.50
  6. Step 6: Final answer
    x = 14,657.57

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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.