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Finding the Fourth Proportional to 20,784.74, 31,114.04 and 13,394.48

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Solution

The fourth proportional to 20,784.74, 31,114.04 and 13,394.48 is: 20,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.74 : 31,114.04 = 13,394.48 : x
  2. Step 2: Convert to fraction form
    20,784.74/31,114.04 = 13,394.48/x
  3. Step 3: Cross multiply
    20,784.74x = 31,114.04 × 13,394.48
  4. Step 4: Simplify right side
    20,784.74x = 416,756,386.50
  5. Step 5: Solve for x
    x = 416,756,386.50/20,784.74
  6. Step 6: Final answer
    x = 20,051.08

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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.