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Finding the Fourth Proportional to 17,525, 24,186.76 and 11,569.08

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Solution

The fourth proportional to 17,525, 24,186.76 and 11,569.08 is: 15,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,525 : 24,186.76 = 11,569.08 : x
  2. Step 2: Convert to fraction form
    17,525/24,186.76 = 11,569.08/x
  3. Step 3: Cross multiply
    17,525x = 24,186.76 × 11,569.08
  4. Step 4: Simplify right side
    17,525x = 279,818,561.38
  5. Step 5: Solve for x
    x = 279,818,561.38/17,525
  6. Step 6: Final answer
    x = 15,966.82

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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.