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Finding the Fourth Proportional to 14,520.84, 20,036.68 and 8,232

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Solution

The fourth proportional to 14,520.84, 20,036.68 and 8,232 is: 11,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.84 : 20,036.68 = 8,232 : x
  2. Step 2: Convert to fraction form
    14,520.84/20,036.68 = 8,232/x
  3. Step 3: Cross multiply
    14,520.84x = 20,036.68 × 8,232
  4. Step 4: Simplify right side
    14,520.84x = 164,941,949.76
  5. Step 5: Solve for x
    x = 164,941,949.76/14,520.84
  6. Step 6: Final answer
    x = 11,358.98

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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.