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Finding the Fourth Proportional to 17,130.96, 25,677 and 7,264.08

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Solution

The fourth proportional to 17,130.96, 25,677 and 7,264.08 is: 10,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130.96 : 25,677 = 7,264.08 : x
  2. Step 2: Convert to fraction form
    17,130.96/25,677 = 7,264.08/x
  3. Step 3: Cross multiply
    17,130.96x = 25,677 × 7,264.08
  4. Step 4: Simplify right side
    17,130.96x = 186,519,782.16
  5. Step 5: Solve for x
    x = 186,519,782.16/17,130.96
  6. Step 6: Final answer
    x = 10,887.88

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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.