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Finding the Fourth Proportional to 20,773.56, 28,681.26 and 12,827.46

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Solution

The fourth proportional to 20,773.56, 28,681.26 and 12,827.46 is: 17,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.56 : 28,681.26 = 12,827.46 : x
  2. Step 2: Convert to fraction form
    20,773.56/28,681.26 = 12,827.46/x
  3. Step 3: Cross multiply
    20,773.56x = 28,681.26 × 12,827.46
  4. Step 4: Simplify right side
    20,773.56x = 367,907,715.40
  5. Step 5: Solve for x
    x = 367,907,715.40/20,773.56
  6. Step 6: Final answer
    x = 17,710.38

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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.