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Finding the Fourth Proportional to 21,870.94, 30,181.62 and 12,310.78

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Solution

The fourth proportional to 21,870.94, 30,181.62 and 12,310.78 is: 16,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.94 : 30,181.62 = 12,310.78 : x
  2. Step 2: Convert to fraction form
    21,870.94/30,181.62 = 12,310.78/x
  3. Step 3: Cross multiply
    21,870.94x = 30,181.62 × 12,310.78
  4. Step 4: Simplify right side
    21,870.94x = 371,559,283.86
  5. Step 5: Solve for x
    x = 371,559,283.86/21,870.94
  6. Step 6: Final answer
    x = 16,988.72

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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.