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Finding the Fourth Proportional to 17,287.84, 25,897.68 and 8,973.28

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Solution

The fourth proportional to 17,287.84, 25,897.68 and 8,973.28 is: 13,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.84 : 25,897.68 = 8,973.28 : x
  2. Step 2: Convert to fraction form
    17,287.84/25,897.68 = 8,973.28/x
  3. Step 3: Cross multiply
    17,287.84x = 25,897.68 × 8,973.28
  4. Step 4: Simplify right side
    17,287.84x = 232,387,133.99
  5. Step 5: Solve for x
    x = 232,387,133.99/17,287.84
  6. Step 6: Final answer
    x = 13,442.23

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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.