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Finding the Fourth Proportional to 21,285, 29,373.84 and 11,853.36

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Solution

The fourth proportional to 21,285, 29,373.84 and 11,853.36 is: 16,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 29,373.84 = 11,853.36 : x
  2. Step 2: Convert to fraction form
    21,285/29,373.84 = 11,853.36/x
  3. Step 3: Cross multiply
    21,285x = 29,373.84 × 11,853.36
  4. Step 4: Simplify right side
    21,285x = 348,178,700.10
  5. Step 5: Solve for x
    x = 348,178,700.10/21,285
  6. Step 6: Final answer
    x = 16,357.94

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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.