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Finding the Fourth Proportional to 19,681.82, 27,160.89 and 10,729.34

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Solution

The fourth proportional to 19,681.82, 27,160.89 and 10,729.34 is: 14,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.82 : 27,160.89 = 10,729.34 : x
  2. Step 2: Convert to fraction form
    19,681.82/27,160.89 = 10,729.34/x
  3. Step 3: Cross multiply
    19,681.82x = 27,160.89 × 10,729.34
  4. Step 4: Simplify right side
    19,681.82x = 291,418,423.51
  5. Step 5: Solve for x
    x = 291,418,423.51/19,681.82
  6. Step 6: Final answer
    x = 14,806.48

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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.