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Finding the Fourth Proportional to 12,429.76, 18,644.70 and 4,638.50

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Solution

The fourth proportional to 12,429.76, 18,644.70 and 4,638.50 is: 6,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.76 : 18,644.70 = 4,638.50 : x
  2. Step 2: Convert to fraction form
    12,429.76/18,644.70 = 4,638.50/x
  3. Step 3: Cross multiply
    12,429.76x = 18,644.70 × 4,638.50
  4. Step 4: Simplify right side
    12,429.76x = 86,483,440.95
  5. Step 5: Solve for x
    x = 86,483,440.95/12,429.76
  6. Step 6: Final answer
    x = 6,957.77

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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.