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Finding the Fourth Proportional to 18,287.64, 25,236.88 and 9,904.16

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Solution

The fourth proportional to 18,287.64, 25,236.88 and 9,904.16 is: 13,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.64 : 25,236.88 = 9,904.16 : x
  2. Step 2: Convert to fraction form
    18,287.64/25,236.88 = 9,904.16/x
  3. Step 3: Cross multiply
    18,287.64x = 25,236.88 × 9,904.16
  4. Step 4: Simplify right side
    18,287.64x = 249,950,097.42
  5. Step 5: Solve for x
    x = 249,950,097.42/18,287.64
  6. Step 6: Final answer
    x = 13,667.71

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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.