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Finding the Fourth Proportional to 12,348.30, 18,522.45 and 6,516.30

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Solution

The fourth proportional to 12,348.30, 18,522.45 and 6,516.30 is: 9,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.30 : 18,522.45 = 6,516.30 : x
  2. Step 2: Convert to fraction form
    12,348.30/18,522.45 = 6,516.30/x
  3. Step 3: Cross multiply
    12,348.30x = 18,522.45 × 6,516.30
  4. Step 4: Simplify right side
    12,348.30x = 120,697,840.94
  5. Step 5: Solve for x
    x = 120,697,840.94/12,348.30
  6. Step 6: Final answer
    x = 9,774.45

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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.