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Finding the Fourth Proportional to 21,575, 29,774.22 and 13,189.88

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Solution

The fourth proportional to 21,575, 29,774.22 and 13,189.88 is: 18,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575 : 29,774.22 = 13,189.88 : x
  2. Step 2: Convert to fraction form
    21,575/29,774.22 = 13,189.88/x
  3. Step 3: Cross multiply
    21,575x = 29,774.22 × 13,189.88
  4. Step 4: Simplify right side
    21,575x = 392,718,388.89
  5. Step 5: Solve for x
    x = 392,718,388.89/21,575
  6. Step 6: Final answer
    x = 18,202.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.