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Finding the Fourth Proportional to 12,646.68, 17,451.86 and 7,341.16

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Solution

The fourth proportional to 12,646.68, 17,451.86 and 7,341.16 is: 10,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.68 : 17,451.86 = 7,341.16 : x
  2. Step 2: Convert to fraction form
    12,646.68/17,451.86 = 7,341.16/x
  3. Step 3: Cross multiply
    12,646.68x = 17,451.86 × 7,341.16
  4. Step 4: Simplify right side
    12,646.68x = 128,116,896.56
  5. Step 5: Solve for x
    x = 128,116,896.56/12,646.68
  6. Step 6: Final answer
    x = 10,130.48

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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.