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Finding the Fourth Proportional to 21,774.84, 30,048.40 and 12,822.72

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Solution

The fourth proportional to 21,774.84, 30,048.40 and 12,822.72 is: 17,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.84 : 30,048.40 = 12,822.72 : x
  2. Step 2: Convert to fraction form
    21,774.84/30,048.40 = 12,822.72/x
  3. Step 3: Cross multiply
    21,774.84x = 30,048.40 × 12,822.72
  4. Step 4: Simplify right side
    21,774.84x = 385,302,219.65
  5. Step 5: Solve for x
    x = 385,302,219.65/21,774.84
  6. Step 6: Final answer
    x = 17,694.84

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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.