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Finding the Fourth Proportional to 19,354.40, 29,035.70 and 6,216

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Solution

The fourth proportional to 19,354.40, 29,035.70 and 6,216 is: 9,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,354.40 : 29,035.70 = 6,216 : x
  2. Step 2: Convert to fraction form
    19,354.40/29,035.70 = 6,216/x
  3. Step 3: Cross multiply
    19,354.40x = 29,035.70 × 6,216
  4. Step 4: Simplify right side
    19,354.40x = 180,485,911.20
  5. Step 5: Solve for x
    x = 180,485,911.20/19,354.40
  6. Step 6: Final answer
    x = 9,325.32

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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.