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Finding the Fourth Proportional to 20,930.76, 31,368.06 and 11,059.56

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Solution

The fourth proportional to 20,930.76, 31,368.06 and 11,059.56 is: 16,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.76 : 31,368.06 = 11,059.56 : x
  2. Step 2: Convert to fraction form
    20,930.76/31,368.06 = 11,059.56/x
  3. Step 3: Cross multiply
    20,930.76x = 31,368.06 × 11,059.56
  4. Step 4: Simplify right side
    20,930.76x = 346,916,941.65
  5. Step 5: Solve for x
    x = 346,916,941.65/20,930.76
  6. Step 6: Final answer
    x = 16,574.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.