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Finding the Fourth Proportional to 12,646.72, 18,955.30 and 9,516.68

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Solution

The fourth proportional to 12,646.72, 18,955.30 and 9,516.68 is: 14,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.72 : 18,955.30 = 9,516.68 : x
  2. Step 2: Convert to fraction form
    12,646.72/18,955.30 = 9,516.68/x
  3. Step 3: Cross multiply
    12,646.72x = 18,955.30 × 9,516.68
  4. Step 4: Simplify right side
    12,646.72x = 180,391,524.40
  5. Step 5: Solve for x
    x = 180,391,524.40/12,646.72
  6. Step 6: Final answer
    x = 14,263.90

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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.