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Finding the Fourth Proportional to 21,652.36, 32,462.68 and 6,853

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Solution

The fourth proportional to 21,652.36, 32,462.68 and 6,853 is: 10,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.36 : 32,462.68 = 6,853 : x
  2. Step 2: Convert to fraction form
    21,652.36/32,462.68 = 6,853/x
  3. Step 3: Cross multiply
    21,652.36x = 32,462.68 × 6,853
  4. Step 4: Simplify right side
    21,652.36x = 222,466,746.04
  5. Step 5: Solve for x
    x = 222,466,746.04/21,652.36
  6. Step 6: Final answer
    x = 10,274.48

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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.