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Finding the Fourth Proportional to 20,045.14, 27,663.03 and 12,971.57

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Solution

The fourth proportional to 20,045.14, 27,663.03 and 12,971.57 is: 17,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.14 : 27,663.03 = 12,971.57 : x
  2. Step 2: Convert to fraction form
    20,045.14/27,663.03 = 12,971.57/x
  3. Step 3: Cross multiply
    20,045.14x = 27,663.03 × 12,971.57
  4. Step 4: Simplify right side
    20,045.14x = 358,832,791.74
  5. Step 5: Solve for x
    x = 358,832,791.74/20,045.14
  6. Step 6: Final answer
    x = 17,901.24

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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.