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Finding the Fourth Proportional to 17,112, 25,593.88 and 10,075.24

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Solution

The fourth proportional to 17,112, 25,593.88 and 10,075.24 is: 15,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112 : 25,593.88 = 10,075.24 : x
  2. Step 2: Convert to fraction form
    17,112/25,593.88 = 10,075.24/x
  3. Step 3: Cross multiply
    17,112x = 25,593.88 × 10,075.24
  4. Step 4: Simplify right side
    17,112x = 257,864,483.53
  5. Step 5: Solve for x
    x = 257,864,483.53/17,112
  6. Step 6: Final answer
    x = 15,069.22

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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.