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Finding the Fourth Proportional to 17,097, 25,639.32 and 7,237.08

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Solution

The fourth proportional to 17,097, 25,639.32 and 7,237.08 is: 10,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097 : 25,639.32 = 7,237.08 : x
  2. Step 2: Convert to fraction form
    17,097/25,639.32 = 7,237.08/x
  3. Step 3: Cross multiply
    17,097x = 25,639.32 × 7,237.08
  4. Step 4: Simplify right side
    17,097x = 185,553,809.99
  5. Step 5: Solve for x
    x = 185,553,809.99/17,097
  6. Step 6: Final answer
    x = 10,853.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.