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Finding the Fourth Proportional to 21,670.72, 32,486.64 and 7,816.48

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Solution

The fourth proportional to 21,670.72, 32,486.64 and 7,816.48 is: 11,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.72 : 32,486.64 = 7,816.48 : x
  2. Step 2: Convert to fraction form
    21,670.72/32,486.64 = 7,816.48/x
  3. Step 3: Cross multiply
    21,670.72x = 32,486.64 × 7,816.48
  4. Step 4: Simplify right side
    21,670.72x = 253,931,171.83
  5. Step 5: Solve for x
    x = 253,931,171.83/21,670.72
  6. Step 6: Final answer
    x = 11,717.71

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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.