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Finding the Fourth Proportional to 11,924.47, 16,460.19 and 10,239.11

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Solution

The fourth proportional to 11,924.47, 16,460.19 and 10,239.11 is: 14,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.47 : 16,460.19 = 10,239.11 : x
  2. Step 2: Convert to fraction form
    11,924.47/16,460.19 = 10,239.11/x
  3. Step 3: Cross multiply
    11,924.47x = 16,460.19 × 10,239.11
  4. Step 4: Simplify right side
    11,924.47x = 168,537,562.53
  5. Step 5: Solve for x
    x = 168,537,562.53/11,924.47
  6. Step 6: Final answer
    x = 14,133.76

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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.