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Finding the Fourth Proportional to 21,785.70, 32,678.44 and 11,853.59

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Solution

The fourth proportional to 21,785.70, 32,678.44 and 11,853.59 is: 17,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.70 : 32,678.44 = 11,853.59 : x
  2. Step 2: Convert to fraction form
    21,785.70/32,678.44 = 11,853.59/x
  3. Step 3: Cross multiply
    21,785.70x = 32,678.44 × 11,853.59
  4. Step 4: Simplify right side
    21,785.70x = 387,356,666.21
  5. Step 5: Solve for x
    x = 387,356,666.21/21,785.70
  6. Step 6: Final answer
    x = 17,780.32

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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.