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Finding the Fourth Proportional to 21,870.65, 30,182.46 and 12,311.16

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Solution

The fourth proportional to 21,870.65, 30,182.46 and 12,311.16 is: 16,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.65 : 30,182.46 = 12,311.16 : x
  2. Step 2: Convert to fraction form
    21,870.65/30,182.46 = 12,311.16/x
  3. Step 3: Cross multiply
    21,870.65x = 30,182.46 × 12,311.16
  4. Step 4: Simplify right side
    21,870.65x = 371,580,934.90
  5. Step 5: Solve for x
    x = 371,580,934.90/21,870.65
  6. Step 6: Final answer
    x = 16,989.93

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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.