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Finding the Fourth Proportional to 23,978, 33,089.26 and 13,368.28

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Solution

The fourth proportional to 23,978, 33,089.26 and 13,368.28 is: 18,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978 : 33,089.26 = 13,368.28 : x
  2. Step 2: Convert to fraction form
    23,978/33,089.26 = 13,368.28/x
  3. Step 3: Cross multiply
    23,978x = 33,089.26 × 13,368.28
  4. Step 4: Simplify right side
    23,978x = 442,346,492.67
  5. Step 5: Solve for x
    x = 442,346,492.67/23,978
  6. Step 6: Final answer
    x = 18,448.01

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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.