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Finding the Fourth Proportional to 17,300.32, 23,874.08 and 9,746.64

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Solution

The fourth proportional to 17,300.32, 23,874.08 and 9,746.64 is: 13,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300.32 : 23,874.08 = 9,746.64 : x
  2. Step 2: Convert to fraction form
    17,300.32/23,874.08 = 9,746.64/x
  3. Step 3: Cross multiply
    17,300.32x = 23,874.08 × 9,746.64
  4. Step 4: Simplify right side
    17,300.32x = 232,692,063.09
  5. Step 5: Solve for x
    x = 232,692,063.09/17,300.32
  6. Step 6: Final answer
    x = 13,450.16

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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.