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Finding the Fourth Proportional to 20,141.08, 27,798.30 and 11,642

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Solution

The fourth proportional to 20,141.08, 27,798.30 and 11,642 is: 16,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.08 : 27,798.30 = 11,642 : x
  2. Step 2: Convert to fraction form
    20,141.08/27,798.30 = 11,642/x
  3. Step 3: Cross multiply
    20,141.08x = 27,798.30 × 11,642
  4. Step 4: Simplify right side
    20,141.08x = 323,627,808.60
  5. Step 5: Solve for x
    x = 323,627,808.60/20,141.08
  6. Step 6: Final answer
    x = 16,068.05

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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.