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Finding the Fourth Proportional to 17,783.42, 26,669.45 and 7,253.42

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Solution

The fourth proportional to 17,783.42, 26,669.45 and 7,253.42 is: 10,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.42 : 26,669.45 = 7,253.42 : x
  2. Step 2: Convert to fraction form
    17,783.42/26,669.45 = 7,253.42/x
  3. Step 3: Cross multiply
    17,783.42x = 26,669.45 × 7,253.42
  4. Step 4: Simplify right side
    17,783.42x = 193,444,606.81
  5. Step 5: Solve for x
    x = 193,444,606.81/17,783.42
  6. Step 6: Final answer
    x = 10,877.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.