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Finding the Fourth Proportional to 14,363.76, 19,821.87 and 8,076

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Solution

The fourth proportional to 14,363.76, 19,821.87 and 8,076 is: 11,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363.76 : 19,821.87 = 8,076 : x
  2. Step 2: Convert to fraction form
    14,363.76/19,821.87 = 8,076/x
  3. Step 3: Cross multiply
    14,363.76x = 19,821.87 × 8,076
  4. Step 4: Simplify right side
    14,363.76x = 160,081,422.12
  5. Step 5: Solve for x
    x = 160,081,422.12/14,363.76
  6. Step 6: Final answer
    x = 11,144.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.