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Finding the Fourth Proportional to 21,832.88, 30,128.64 and 13,349.24

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Solution

The fourth proportional to 21,832.88, 30,128.64 and 13,349.24 is: 18,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.88 : 30,128.64 = 13,349.24 : x
  2. Step 2: Convert to fraction form
    21,832.88/30,128.64 = 13,349.24/x
  3. Step 3: Cross multiply
    21,832.88x = 30,128.64 × 13,349.24
  4. Step 4: Simplify right side
    21,832.88x = 402,194,446.23
  5. Step 5: Solve for x
    x = 402,194,446.23/21,832.88
  6. Step 6: Final answer
    x = 18,421.50

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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.