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Finding the Fourth Proportional to 19,363.76, 29,039.28 and 6,213

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Solution

The fourth proportional to 19,363.76, 29,039.28 and 6,213 is: 9,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,363.76 : 29,039.28 = 6,213 : x
  2. Step 2: Convert to fraction form
    19,363.76/29,039.28 = 6,213/x
  3. Step 3: Cross multiply
    19,363.76x = 29,039.28 × 6,213
  4. Step 4: Simplify right side
    19,363.76x = 180,421,046.64
  5. Step 5: Solve for x
    x = 180,421,046.64/19,363.76
  6. Step 6: Final answer
    x = 9,317.46

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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.