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Finding the Fourth Proportional to 12,102.90, 18,152.13 and 4,205.46

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Solution

The fourth proportional to 12,102.90, 18,152.13 and 4,205.46 is: 6,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.90 : 18,152.13 = 4,205.46 : x
  2. Step 2: Convert to fraction form
    12,102.90/18,152.13 = 4,205.46/x
  3. Step 3: Cross multiply
    12,102.90x = 18,152.13 × 4,205.46
  4. Step 4: Simplify right side
    12,102.90x = 76,338,056.63
  5. Step 5: Solve for x
    x = 76,338,056.63/12,102.90
  6. Step 6: Final answer
    x = 6,307.42

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