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Finding the Fourth Proportional to 20,773.58, 28,681.25 and 12,827.48

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Solution

The fourth proportional to 20,773.58, 28,681.25 and 12,827.48 is: 17,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.58 : 28,681.25 = 12,827.48 : x
  2. Step 2: Convert to fraction form
    20,773.58/28,681.25 = 12,827.48/x
  3. Step 3: Cross multiply
    20,773.58x = 28,681.25 × 12,827.48
  4. Step 4: Simplify right side
    20,773.58x = 367,907,953.21
  5. Step 5: Solve for x
    x = 367,907,953.21/20,773.58
  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.