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Finding the Fourth Proportional to 27,015.72, 40,538.13 and 13,164.72

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Solution

The fourth proportional to 27,015.72, 40,538.13 and 13,164.72 is: 19,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015.72 : 40,538.13 = 13,164.72 : x
  2. Step 2: Convert to fraction form
    27,015.72/40,538.13 = 13,164.72/x
  3. Step 3: Cross multiply
    27,015.72x = 40,538.13 × 13,164.72
  4. Step 4: Simplify right side
    27,015.72x = 533,673,130.77
  5. Step 5: Solve for x
    x = 533,673,130.77/27,015.72
  6. Step 6: Final answer
    x = 19,754.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.