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Finding the Fourth Proportional to 16,343.12, 22,554.64 and 9,270

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Solution

The fourth proportional to 16,343.12, 22,554.64 and 9,270 is: 12,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.12 : 22,554.64 = 9,270 : x
  2. Step 2: Convert to fraction form
    16,343.12/22,554.64 = 9,270/x
  3. Step 3: Cross multiply
    16,343.12x = 22,554.64 × 9,270
  4. Step 4: Simplify right side
    16,343.12x = 209,081,512.80
  5. Step 5: Solve for x
    x = 209,081,512.80/16,343.12
  6. Step 6: Final answer
    x = 12,793.24

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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.