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Finding the Fourth Proportional to 21,505.12, 29,662.80 and 13,001.68

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Solution

The fourth proportional to 21,505.12, 29,662.80 and 13,001.68 is: 17,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.12 : 29,662.80 = 13,001.68 : x
  2. Step 2: Convert to fraction form
    21,505.12/29,662.80 = 13,001.68/x
  3. Step 3: Cross multiply
    21,505.12x = 29,662.80 × 13,001.68
  4. Step 4: Simplify right side
    21,505.12x = 385,666,233.50
  5. Step 5: Solve for x
    x = 385,666,233.50/21,505.12
  6. Step 6: Final answer
    x = 17,933.69

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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.