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Finding the Fourth Proportional to 20,068.68, 27,695 and 11,116.32

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Solution

The fourth proportional to 20,068.68, 27,695 and 11,116.32 is: 15,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068.68 : 27,695 = 11,116.32 : x
  2. Step 2: Convert to fraction form
    20,068.68/27,695 = 11,116.32/x
  3. Step 3: Cross multiply
    20,068.68x = 27,695 × 11,116.32
  4. Step 4: Simplify right side
    20,068.68x = 307,866,482.40
  5. Step 5: Solve for x
    x = 307,866,482.40/20,068.68
  6. Step 6: Final answer
    x = 15,340.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.