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Finding the Fourth Proportional to 12,335.38, 17,022.84 and 6,746.38

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Solution

The fourth proportional to 12,335.38, 17,022.84 and 6,746.38 is: 9,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.38 : 17,022.84 = 6,746.38 : x
  2. Step 2: Convert to fraction form
    12,335.38/17,022.84 = 6,746.38/x
  3. Step 3: Cross multiply
    12,335.38x = 17,022.84 × 6,746.38
  4. Step 4: Simplify right side
    12,335.38x = 114,842,547.32
  5. Step 5: Solve for x
    x = 114,842,547.32/12,335.38
  6. Step 6: Final answer
    x = 9,310.01

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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.