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Finding the Fourth Proportional to 15,856.50, 23,777.64 and 8,459.22

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Solution

The fourth proportional to 15,856.50, 23,777.64 and 8,459.22 is: 12,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.50 : 23,777.64 = 8,459.22 : x
  2. Step 2: Convert to fraction form
    15,856.50/23,777.64 = 8,459.22/x
  3. Step 3: Cross multiply
    15,856.50x = 23,777.64 × 8,459.22
  4. Step 4: Simplify right side
    15,856.50x = 201,140,287.84
  5. Step 5: Solve for x
    x = 201,140,287.84/15,856.50
  6. Step 6: Final answer
    x = 12,685.04

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Why These Related Problems?

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