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Finding the Fourth Proportional to 21,215, 29,276.70 and 11,784.44

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Solution

The fourth proportional to 21,215, 29,276.70 and 11,784.44 is: 16,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215 : 29,276.70 = 11,784.44 : x
  2. Step 2: Convert to fraction form
    21,215/29,276.70 = 11,784.44/x
  3. Step 3: Cross multiply
    21,215x = 29,276.70 × 11,784.44
  4. Step 4: Simplify right side
    21,215x = 345,009,514.55
  5. Step 5: Solve for x
    x = 345,009,514.55/21,215
  6. Step 6: Final answer
    x = 16,262.53

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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.