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Finding the Fourth Proportional to 18,324, 27,484.02 and 12,438.60

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Solution

The fourth proportional to 18,324, 27,484.02 and 12,438.60 is: 18,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 27,484.02 = 12,438.60 : x
  2. Step 2: Convert to fraction form
    18,324/27,484.02 = 12,438.60/x
  3. Step 3: Cross multiply
    18,324x = 27,484.02 × 12,438.60
  4. Step 4: Simplify right side
    18,324x = 341,862,731.17
  5. Step 5: Solve for x
    x = 341,862,731.17/18,324
  6. Step 6: Final answer
    x = 18,656.56

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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.