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Finding the Fourth Proportional to 14,363.64, 19,822.41 and 8,076

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Solution

The fourth proportional to 14,363.64, 19,822.41 and 8,076 is: 11,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363.64 : 19,822.41 = 8,076 : x
  2. Step 2: Convert to fraction form
    14,363.64/19,822.41 = 8,076/x
  3. Step 3: Cross multiply
    14,363.64x = 19,822.41 × 8,076
  4. Step 4: Simplify right side
    14,363.64x = 160,085,783.16
  5. Step 5: Solve for x
    x = 160,085,783.16/14,363.64
  6. Step 6: Final answer
    x = 11,145.21

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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.