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Finding the Fourth Proportional to 16,041.84, 22,141.53 and 9,753

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Solution

The fourth proportional to 16,041.84, 22,141.53 and 9,753 is: 13,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.84 : 22,141.53 = 9,753 : x
  2. Step 2: Convert to fraction form
    16,041.84/22,141.53 = 9,753/x
  3. Step 3: Cross multiply
    16,041.84x = 22,141.53 × 9,753
  4. Step 4: Simplify right side
    16,041.84x = 215,946,342.09
  5. Step 5: Solve for x
    x = 215,946,342.09/16,041.84
  6. Step 6: Final answer
    x = 13,461.44

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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.