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Finding the Fourth Proportional to 21,513.84, 32,275.44 and 6,723.12

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Solution

The fourth proportional to 21,513.84, 32,275.44 and 6,723.12 is: 10,086.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.84 : 32,275.44 = 6,723.12 : x
  2. Step 2: Convert to fraction form
    21,513.84/32,275.44 = 6,723.12/x
  3. Step 3: Cross multiply
    21,513.84x = 32,275.44 × 6,723.12
  4. Step 4: Simplify right side
    21,513.84x = 216,991,656.17
  5. Step 5: Solve for x
    x = 216,991,656.17/21,513.84
  6. Step 6: Final answer
    x = 10,086.14

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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.