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Finding the Fourth Proportional to 12,289.64, 18,440 and 6,669.06

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Solution

The fourth proportional to 12,289.64, 18,440 and 6,669.06 is: 10,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.64 : 18,440 = 6,669.06 : x
  2. Step 2: Convert to fraction form
    12,289.64/18,440 = 6,669.06/x
  3. Step 3: Cross multiply
    12,289.64x = 18,440 × 6,669.06
  4. Step 4: Simplify right side
    12,289.64x = 122,977,466.40
  5. Step 5: Solve for x
    x = 122,977,466.40/12,289.64
  6. Step 6: Final answer
    x = 10,006.60

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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.