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Finding the Fourth Proportional to 23,586, 32,547.84 and 12,975.60

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Solution

The fourth proportional to 23,586, 32,547.84 and 12,975.60 is: 17,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586 : 32,547.84 = 12,975.60 : x
  2. Step 2: Convert to fraction form
    23,586/32,547.84 = 12,975.60/x
  3. Step 3: Cross multiply
    23,586x = 32,547.84 × 12,975.60
  4. Step 4: Simplify right side
    23,586x = 422,327,752.70
  5. Step 5: Solve for x
    x = 422,327,752.70/23,586
  6. Step 6: Final answer
    x = 17,905.87

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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.