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Finding the Fourth Proportional to 21,976.76, 30,326.82 and 13,025

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Solution

The fourth proportional to 21,976.76, 30,326.82 and 13,025 is: 17,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.76 : 30,326.82 = 13,025 : x
  2. Step 2: Convert to fraction form
    21,976.76/30,326.82 = 13,025/x
  3. Step 3: Cross multiply
    21,976.76x = 30,326.82 × 13,025
  4. Step 4: Simplify right side
    21,976.76x = 395,006,830.50
  5. Step 5: Solve for x
    x = 395,006,830.50/21,976.76
  6. Step 6: Final answer
    x = 17,973.84

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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.