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Finding the Fourth Proportional to 18,164.34, 25,066.92 and 10,206.36

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Solution

The fourth proportional to 18,164.34, 25,066.92 and 10,206.36 is: 14,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.34 : 25,066.92 = 10,206.36 : x
  2. Step 2: Convert to fraction form
    18,164.34/25,066.92 = 10,206.36/x
  3. Step 3: Cross multiply
    18,164.34x = 25,066.92 × 10,206.36
  4. Step 4: Simplify right side
    18,164.34x = 255,842,009.61
  5. Step 5: Solve for x
    x = 255,842,009.61/18,164.34
  6. Step 6: Final answer
    x = 14,084.85

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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.