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Finding the Fourth Proportional to 12,484.64, 18,711.38 and 8,030.46

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Solution

The fourth proportional to 12,484.64, 18,711.38 and 8,030.46 is: 12,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.64 : 18,711.38 = 8,030.46 : x
  2. Step 2: Convert to fraction form
    12,484.64/18,711.38 = 8,030.46/x
  3. Step 3: Cross multiply
    12,484.64x = 18,711.38 × 8,030.46
  4. Step 4: Simplify right side
    12,484.64x = 150,260,988.63
  5. Step 5: Solve for x
    x = 150,260,988.63/12,484.64
  6. Step 6: Final answer
    x = 12,035.67

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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.