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Finding the Fourth Proportional to 17,465.48, 24,101.94 and 10,013

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Solution

The fourth proportional to 17,465.48, 24,101.94 and 10,013 is: 13,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.48 : 24,101.94 = 10,013 : x
  2. Step 2: Convert to fraction form
    17,465.48/24,101.94 = 10,013/x
  3. Step 3: Cross multiply
    17,465.48x = 24,101.94 × 10,013
  4. Step 4: Simplify right side
    17,465.48x = 241,332,725.22
  5. Step 5: Solve for x
    x = 241,332,725.22/17,465.48
  6. Step 6: Final answer
    x = 13,817.70

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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.