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Finding the Fourth Proportional to 17,186.64, 25,897 and 14,135

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Solution

The fourth proportional to 17,186.64, 25,897 and 14,135 is: 21,298.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.64 : 25,897 = 14,135 : x
  2. Step 2: Convert to fraction form
    17,186.64/25,897 = 14,135/x
  3. Step 3: Cross multiply
    17,186.64x = 25,897 × 14,135
  4. Step 4: Simplify right side
    17,186.64x = 366,054,095
  5. Step 5: Solve for x
    x = 366,054,095/17,186.64
  6. Step 6: Final answer
    x = 21,298.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.