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Finding the Fourth Proportional to 17,802, 24,566.76 and 11,178

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Solution

The fourth proportional to 17,802, 24,566.76 and 11,178 is: 15,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802 : 24,566.76 = 11,178 : x
  2. Step 2: Convert to fraction form
    17,802/24,566.76 = 11,178/x
  3. Step 3: Cross multiply
    17,802x = 24,566.76 × 11,178
  4. Step 4: Simplify right side
    17,802x = 274,607,243.28
  5. Step 5: Solve for x
    x = 274,607,243.28/17,802
  6. Step 6: Final answer
    x = 15,425.64

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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.