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Finding the Fourth Proportional to 18,288.56, 25,238.08 and 9,905

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Solution

The fourth proportional to 18,288.56, 25,238.08 and 9,905 is: 13,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288.56 : 25,238.08 = 9,905 : x
  2. Step 2: Convert to fraction form
    18,288.56/25,238.08 = 9,905/x
  3. Step 3: Cross multiply
    18,288.56x = 25,238.08 × 9,905
  4. Step 4: Simplify right side
    18,288.56x = 249,983,182.40
  5. Step 5: Solve for x
    x = 249,983,182.40/18,288.56
  6. Step 6: Final answer
    x = 13,668.83

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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.