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Finding the Fourth Proportional to 18,102.17, 24,980.29 and 10,144

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Solution

The fourth proportional to 18,102.17, 24,980.29 and 10,144 is: 13,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.17 : 24,980.29 = 10,144 : x
  2. Step 2: Convert to fraction form
    18,102.17/24,980.29 = 10,144/x
  3. Step 3: Cross multiply
    18,102.17x = 24,980.29 × 10,144
  4. Step 4: Simplify right side
    18,102.17x = 253,400,061.76
  5. Step 5: Solve for x
    x = 253,400,061.76/18,102.17
  6. Step 6: Final answer
    x = 13,998.33

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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.