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Finding the Fourth Proportional to 11,842.36, 17,783.70 and 11,347

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Solution

The fourth proportional to 11,842.36, 17,783.70 and 11,347 is: 17,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.36 : 17,783.70 = 11,347 : x
  2. Step 2: Convert to fraction form
    11,842.36/17,783.70 = 11,347/x
  3. Step 3: Cross multiply
    11,842.36x = 17,783.70 × 11,347
  4. Step 4: Simplify right side
    11,842.36x = 201,791,643.90
  5. Step 5: Solve for x
    x = 201,791,643.90/11,842.36
  6. Step 6: Final answer
    x = 17,039.82

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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.