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Finding the Fourth Proportional to 21,870.84, 30,182.73 and 12,314.01

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Solution

The fourth proportional to 21,870.84, 30,182.73 and 12,314.01 is: 16,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.84 : 30,182.73 = 12,314.01 : x
  2. Step 2: Convert to fraction form
    21,870.84/30,182.73 = 12,314.01/x
  3. Step 3: Cross multiply
    21,870.84x = 30,182.73 × 12,314.01
  4. Step 4: Simplify right side
    21,870.84x = 371,670,440.18
  5. Step 5: Solve for x
    x = 371,670,440.18/21,870.84
  6. Step 6: Final answer
    x = 16,993.88

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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.