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Finding the Fourth Proportional to 14,671.40, 21,990.90 and 8,102.30

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Solution

The fourth proportional to 14,671.40, 21,990.90 and 8,102.30 is: 12,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.40 : 21,990.90 = 8,102.30 : x
  2. Step 2: Convert to fraction form
    14,671.40/21,990.90 = 8,102.30/x
  3. Step 3: Cross multiply
    14,671.40x = 21,990.90 × 8,102.30
  4. Step 4: Simplify right side
    14,671.40x = 178,176,869.07
  5. Step 5: Solve for x
    x = 178,176,869.07/14,671.40
  6. Step 6: Final answer
    x = 12,144.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.