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Finding the Fourth Proportional to 17,465.92, 24,102.95 and 9,508.19

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Solution

The fourth proportional to 17,465.92, 24,102.95 and 9,508.19 is: 13,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.92 : 24,102.95 = 9,508.19 : x
  2. Step 2: Convert to fraction form
    17,465.92/24,102.95 = 9,508.19/x
  3. Step 3: Cross multiply
    17,465.92x = 24,102.95 × 9,508.19
  4. Step 4: Simplify right side
    17,465.92x = 229,175,260.10
  5. Step 5: Solve for x
    x = 229,175,260.10/17,465.92
  6. Step 6: Final answer
    x = 13,121.28

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1.5x scale

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.