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Finding the Fourth Proportional to 27,698.54, 41,547.80 and 12,917.79

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Solution

The fourth proportional to 27,698.54, 41,547.80 and 12,917.79 is: 19,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.54 : 41,547.80 = 12,917.79 : x
  2. Step 2: Convert to fraction form
    27,698.54/41,547.80 = 12,917.79/x
  3. Step 3: Cross multiply
    27,698.54x = 41,547.80 × 12,917.79
  4. Step 4: Simplify right side
    27,698.54x = 536,705,787.66
  5. Step 5: Solve for x
    x = 536,705,787.66/27,698.54
  6. Step 6: Final answer
    x = 19,376.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.