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Finding the Fourth Proportional to 15,931.56, 21,984 and 9,215.84

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Solution

The fourth proportional to 15,931.56, 21,984 and 9,215.84 is: 12,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,931.56 : 21,984 = 9,215.84 : x
  2. Step 2: Convert to fraction form
    15,931.56/21,984 = 9,215.84/x
  3. Step 3: Cross multiply
    15,931.56x = 21,984 × 9,215.84
  4. Step 4: Simplify right side
    15,931.56x = 202,601,026.56
  5. Step 5: Solve for x
    x = 202,601,026.56/15,931.56
  6. Step 6: Final answer
    x = 12,716.96

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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.