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Finding the Fourth Proportional to 12,368.66, 18,548.43 and 8,669

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Solution

The fourth proportional to 12,368.66, 18,548.43 and 8,669 is: 13,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.66 : 18,548.43 = 8,669 : x
  2. Step 2: Convert to fraction form
    12,368.66/18,548.43 = 8,669/x
  3. Step 3: Cross multiply
    12,368.66x = 18,548.43 × 8,669
  4. Step 4: Simplify right side
    12,368.66x = 160,796,339.67
  5. Step 5: Solve for x
    x = 160,796,339.67/12,368.66
  6. Step 6: Final answer
    x = 13,000.30

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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.