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Finding the Fourth Proportional to 21,980.46, 30,332.86 and 12,549

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Solution

The fourth proportional to 21,980.46, 30,332.86 and 12,549 is: 17,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.46 : 30,332.86 = 12,549 : x
  2. Step 2: Convert to fraction form
    21,980.46/30,332.86 = 12,549/x
  3. Step 3: Cross multiply
    21,980.46x = 30,332.86 × 12,549
  4. Step 4: Simplify right side
    21,980.46x = 380,647,060.14
  5. Step 5: Solve for x
    x = 380,647,060.14/21,980.46
  6. Step 6: Final answer
    x = 17,317.52

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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.