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Finding the Fourth Proportional to 16,199.84, 22,354.44 and 9,128

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Solution

The fourth proportional to 16,199.84, 22,354.44 and 9,128 is: 12,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.84 : 22,354.44 = 9,128 : x
  2. Step 2: Convert to fraction form
    16,199.84/22,354.44 = 9,128/x
  3. Step 3: Cross multiply
    16,199.84x = 22,354.44 × 9,128
  4. Step 4: Simplify right side
    16,199.84x = 204,051,328.32
  5. Step 5: Solve for x
    x = 204,051,328.32/16,199.84
  6. Step 6: Final answer
    x = 12,595.89

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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.