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Finding the Fourth Proportional to 27,089.49, 40,650.36 and 12,298.23

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Solution

The fourth proportional to 27,089.49, 40,650.36 and 12,298.23 is: 18,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,089.49 : 40,650.36 = 12,298.23 : x
  2. Step 2: Convert to fraction form
    27,089.49/40,650.36 = 12,298.23/x
  3. Step 3: Cross multiply
    27,089.49x = 40,650.36 × 12,298.23
  4. Step 4: Simplify right side
    27,089.49x = 499,927,476.86
  5. Step 5: Solve for x
    x = 499,927,476.86/27,089.49
  6. Step 6: Final answer
    x = 18,454.67

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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.