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Finding the Fourth Proportional to 16,244.84, 22,407.12 and 11,209.28

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Solution

The fourth proportional to 16,244.84, 22,407.12 and 11,209.28 is: 15,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.84 : 22,407.12 = 11,209.28 : x
  2. Step 2: Convert to fraction form
    16,244.84/22,407.12 = 11,209.28/x
  3. Step 3: Cross multiply
    16,244.84x = 22,407.12 × 11,209.28
  4. Step 4: Simplify right side
    16,244.84x = 251,167,682.07
  5. Step 5: Solve for x
    x = 251,167,682.07/16,244.84
  6. Step 6: Final answer
    x = 15,461.38

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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.