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Finding the Fourth Proportional to 17,364.78, 25,971.93 and 10,232.01

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Solution

The fourth proportional to 17,364.78, 25,971.93 and 10,232.01 is: 15,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.78 : 25,971.93 = 10,232.01 : x
  2. Step 2: Convert to fraction form
    17,364.78/25,971.93 = 10,232.01/x
  3. Step 3: Cross multiply
    17,364.78x = 25,971.93 × 10,232.01
  4. Step 4: Simplify right side
    17,364.78x = 265,745,047.48
  5. Step 5: Solve for x
    x = 265,745,047.48/17,364.78
  6. Step 6: Final answer
    x = 15,303.68

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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.