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Finding the Fourth Proportional to 19,364.76, 29,040.78 and 6,214

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Solution

The fourth proportional to 19,364.76, 29,040.78 and 6,214 is: 9,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,364.76 : 29,040.78 = 6,214 : x
  2. Step 2: Convert to fraction form
    19,364.76/29,040.78 = 6,214/x
  3. Step 3: Cross multiply
    19,364.76x = 29,040.78 × 6,214
  4. Step 4: Simplify right side
    19,364.76x = 180,459,406.92
  5. Step 5: Solve for x
    x = 180,459,406.92/19,364.76
  6. Step 6: Final answer
    x = 9,318.96

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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.