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Finding the Fourth Proportional to 17,465.18, 24,101.92 and 9,507.38

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Solution

The fourth proportional to 17,465.18, 24,101.92 and 9,507.38 is: 13,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.18 : 24,101.92 = 9,507.38 : x
  2. Step 2: Convert to fraction form
    17,465.18/24,101.92 = 9,507.38/x
  3. Step 3: Cross multiply
    17,465.18x = 24,101.92 × 9,507.38
  4. Step 4: Simplify right side
    17,465.18x = 229,146,112.17
  5. Step 5: Solve for x
    x = 229,146,112.17/17,465.18
  6. Step 6: Final answer
    x = 13,120.17

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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.