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Finding the Fourth Proportional to 12,620.68, 18,931.74 and 9,663.28

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Solution

The fourth proportional to 12,620.68, 18,931.74 and 9,663.28 is: 14,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.68 : 18,931.74 = 9,663.28 : x
  2. Step 2: Convert to fraction form
    12,620.68/18,931.74 = 9,663.28/x
  3. Step 3: Cross multiply
    12,620.68x = 18,931.74 × 9,663.28
  4. Step 4: Simplify right side
    12,620.68x = 182,942,704.51
  5. Step 5: Solve for x
    x = 182,942,704.51/12,620.68
  6. Step 6: Final answer
    x = 14,495.47

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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.