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Finding the Fourth Proportional to 12,646.08, 17,451.72 and 7,338.96

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Solution

The fourth proportional to 12,646.08, 17,451.72 and 7,338.96 is: 10,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.08 : 17,451.72 = 7,338.96 : x
  2. Step 2: Convert to fraction form
    12,646.08/17,451.72 = 7,338.96/x
  3. Step 3: Cross multiply
    12,646.08x = 17,451.72 × 7,338.96
  4. Step 4: Simplify right side
    12,646.08x = 128,077,475.01
  5. Step 5: Solve for x
    x = 128,077,475.01/12,646.08
  6. Step 6: Final answer
    x = 10,127.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.