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Finding the Fourth Proportional to 18,965.68, 26,173.20 and 10,582

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Solution

The fourth proportional to 18,965.68, 26,173.20 and 10,582 is: 14,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965.68 : 26,173.20 = 10,582 : x
  2. Step 2: Convert to fraction form
    18,965.68/26,173.20 = 10,582/x
  3. Step 3: Cross multiply
    18,965.68x = 26,173.20 × 10,582
  4. Step 4: Simplify right side
    18,965.68x = 276,964,802.40
  5. Step 5: Solve for x
    x = 276,964,802.40/18,965.68
  6. Step 6: Final answer
    x = 14,603.47

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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.