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Finding the Fourth Proportional to 12,148.46, 18,225.17 and 4,651.49

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Solution

The fourth proportional to 12,148.46, 18,225.17 and 4,651.49 is: 6,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.46 : 18,225.17 = 4,651.49 : x
  2. Step 2: Convert to fraction form
    12,148.46/18,225.17 = 4,651.49/x
  3. Step 3: Cross multiply
    12,148.46x = 18,225.17 × 4,651.49
  4. Step 4: Simplify right side
    12,148.46x = 84,774,196.00
  5. Step 5: Solve for x
    x = 84,774,196.00/12,148.46
  6. Step 6: Final answer
    x = 6,978.18

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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.