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Finding the Fourth Proportional to 20,165.12, 27,849.12 and 17,966.24

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Solution

The fourth proportional to 20,165.12, 27,849.12 and 17,966.24 is: 24,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.12 : 27,849.12 = 17,966.24 : x
  2. Step 2: Convert to fraction form
    20,165.12/27,849.12 = 17,966.24/x
  3. Step 3: Cross multiply
    20,165.12x = 27,849.12 × 17,966.24
  4. Step 4: Simplify right side
    20,165.12x = 500,343,973.71
  5. Step 5: Solve for x
    x = 500,343,973.71/20,165.12
  6. Step 6: Final answer
    x = 24,812.35

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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.