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Finding the Fourth Proportional to 20,102.83, 27,719.28 and 12,825.25

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Solution

The fourth proportional to 20,102.83, 27,719.28 and 12,825.25 is: 17,684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.83 : 27,719.28 = 12,825.25 : x
  2. Step 2: Convert to fraction form
    20,102.83/27,719.28 = 12,825.25/x
  3. Step 3: Cross multiply
    20,102.83x = 27,719.28 × 12,825.25
  4. Step 4: Simplify right side
    20,102.83x = 355,506,695.82
  5. Step 5: Solve for x
    x = 355,506,695.82/20,102.83
  6. Step 6: Final answer
    x = 17,684.41

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