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Finding the Fourth Proportional to 21,837.84, 32,757.60 and 7,047

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Solution

The fourth proportional to 21,837.84, 32,757.60 and 7,047 is: 10,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.84 : 32,757.60 = 7,047 : x
  2. Step 2: Convert to fraction form
    21,837.84/32,757.60 = 7,047/x
  3. Step 3: Cross multiply
    21,837.84x = 32,757.60 × 7,047
  4. Step 4: Simplify right side
    21,837.84x = 230,842,807.20
  5. Step 5: Solve for x
    x = 230,842,807.20/21,837.84
  6. Step 6: Final answer
    x = 10,570.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.