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Finding the Fourth Proportional to 27,507.82, 37,921.98 and 19,547.14

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Solution

The fourth proportional to 27,507.82, 37,921.98 and 19,547.14 is: 26,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.82 : 37,921.98 = 19,547.14 : x
  2. Step 2: Convert to fraction form
    27,507.82/37,921.98 = 19,547.14/x
  3. Step 3: Cross multiply
    27,507.82x = 37,921.98 × 19,547.14
  4. Step 4: Simplify right side
    27,507.82x = 741,266,252.14
  5. Step 5: Solve for x
    x = 741,266,252.14/27,507.82
  6. Step 6: Final answer
    x = 26,947.47

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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.