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Finding the Fourth Proportional to 17,696.10, 24,419.91 and 10,428.12

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Solution

The fourth proportional to 17,696.10, 24,419.91 and 10,428.12 is: 14,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.10 : 24,419.91 = 10,428.12 : x
  2. Step 2: Convert to fraction form
    17,696.10/24,419.91 = 10,428.12/x
  3. Step 3: Cross multiply
    17,696.10x = 24,419.91 × 10,428.12
  4. Step 4: Simplify right side
    17,696.10x = 254,653,751.87
  5. Step 5: Solve for x
    x = 254,653,751.87/17,696.10
  6. Step 6: Final answer
    x = 14,390.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.