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Finding the Fourth Proportional to 17,248, 25,875.12 and 11,409.44

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Solution

The fourth proportional to 17,248, 25,875.12 and 11,409.44 is: 17,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,248 : 25,875.12 = 11,409.44 : x
  2. Step 2: Convert to fraction form
    17,248/25,875.12 = 11,409.44/x
  3. Step 3: Cross multiply
    17,248x = 25,875.12 × 11,409.44
  4. Step 4: Simplify right side
    17,248x = 295,220,629.13
  5. Step 5: Solve for x
    x = 295,220,629.13/17,248
  6. Step 6: Final answer
    x = 17,116.22

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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.