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Finding the Fourth Proportional to 17,253, 23,812.02 and 10,181.16

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Solution

The fourth proportional to 17,253, 23,812.02 and 10,181.16 is: 14,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,253 : 23,812.02 = 10,181.16 : x
  2. Step 2: Convert to fraction form
    17,253/23,812.02 = 10,181.16/x
  3. Step 3: Cross multiply
    17,253x = 23,812.02 × 10,181.16
  4. Step 4: Simplify right side
    17,253x = 242,433,985.54
  5. Step 5: Solve for x
    x = 242,433,985.54/17,253
  6. Step 6: Final answer
    x = 14,051.70

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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.