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Finding the Fourth Proportional to 21,780.84, 30,056.97 and 12,219.93

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Solution

The fourth proportional to 21,780.84, 30,056.97 and 12,219.93 is: 16,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.84 : 30,056.97 = 12,219.93 : x
  2. Step 2: Convert to fraction form
    21,780.84/30,056.97 = 12,219.93/x
  3. Step 3: Cross multiply
    21,780.84x = 30,056.97 × 12,219.93
  4. Step 4: Simplify right side
    21,780.84x = 367,294,069.41
  5. Step 5: Solve for x
    x = 367,294,069.41/21,780.84
  6. Step 6: Final answer
    x = 16,863.17

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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.