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Finding the Fourth Proportional to 17,259.84, 25,871.28 and 8,931.46

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Solution

The fourth proportional to 17,259.84, 25,871.28 and 8,931.46 is: 13,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259.84 : 25,871.28 = 8,931.46 : x
  2. Step 2: Convert to fraction form
    17,259.84/25,871.28 = 8,931.46/x
  3. Step 3: Cross multiply
    17,259.84x = 25,871.28 × 8,931.46
  4. Step 4: Simplify right side
    17,259.84x = 231,068,302.47
  5. Step 5: Solve for x
    x = 231,068,302.47/17,259.84
  6. Step 6: Final answer
    x = 13,387.63

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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.