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Finding the Fourth Proportional to 35,808, 53,714.88 and 11,184

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Solution

The fourth proportional to 35,808, 53,714.88 and 11,184 is: 16,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,808 : 53,714.88 = 11,184 : x
  2. Step 2: Convert to fraction form
    35,808/53,714.88 = 11,184/x
  3. Step 3: Cross multiply
    35,808x = 53,714.88 × 11,184
  4. Step 4: Simplify right side
    35,808x = 600,747,217.92
  5. Step 5: Solve for x
    x = 600,747,217.92/35,808
  6. Step 6: Final answer
    x = 16,776.90

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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.