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Finding the Fourth Proportional to 12,721.68, 17,547.84 and 9,190.08

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Solution

The fourth proportional to 12,721.68, 17,547.84 and 9,190.08 is: 12,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.68 : 17,547.84 = 9,190.08 : x
  2. Step 2: Convert to fraction form
    12,721.68/17,547.84 = 9,190.08/x
  3. Step 3: Cross multiply
    12,721.68x = 17,547.84 × 9,190.08
  4. Step 4: Simplify right side
    12,721.68x = 161,266,053.43
  5. Step 5: Solve for x
    x = 161,266,053.43/12,721.68
  6. Step 6: Final answer
    x = 12,676.47

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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.