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Finding the Fourth Proportional to 15,510.86, 23,257.46 and 10,586.46

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Solution

The fourth proportional to 15,510.86, 23,257.46 and 10,586.46 is: 15,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,510.86 : 23,257.46 = 10,586.46 : x
  2. Step 2: Convert to fraction form
    15,510.86/23,257.46 = 10,586.46/x
  3. Step 3: Cross multiply
    15,510.86x = 23,257.46 × 10,586.46
  4. Step 4: Simplify right side
    15,510.86x = 246,214,117.06
  5. Step 5: Solve for x
    x = 246,214,117.06/15,510.86
  6. Step 6: Final answer
    x = 15,873.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.