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Finding the Fourth Proportional to 18,235.24, 25,164.96 and 10,687

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Solution

The fourth proportional to 18,235.24, 25,164.96 and 10,687 is: 14,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.24 : 25,164.96 = 10,687 : x
  2. Step 2: Convert to fraction form
    18,235.24/25,164.96 = 10,687/x
  3. Step 3: Cross multiply
    18,235.24x = 25,164.96 × 10,687
  4. Step 4: Simplify right side
    18,235.24x = 268,937,927.52
  5. Step 5: Solve for x
    x = 268,937,927.52/18,235.24
  6. Step 6: Final answer
    x = 14,748.25

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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.