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Finding the Fourth Proportional to 17,096.13, 25,511.69 and 15,127.83

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Solution

The fourth proportional to 17,096.13, 25,511.69 and 15,127.83 is: 22,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.13 : 25,511.69 = 15,127.83 : x
  2. Step 2: Convert to fraction form
    17,096.13/25,511.69 = 15,127.83/x
  3. Step 3: Cross multiply
    17,096.13x = 25,511.69 × 15,127.83
  4. Step 4: Simplify right side
    17,096.13x = 385,936,547.15
  5. Step 5: Solve for x
    x = 385,936,547.15/17,096.13
  6. Step 6: Final answer
    x = 22,574.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.