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Finding the Fourth Proportional to 15,936.57, 23,917.14 and 8,547.21

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Solution

The fourth proportional to 15,936.57, 23,917.14 and 8,547.21 is: 12,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.57 : 23,917.14 = 8,547.21 : x
  2. Step 2: Convert to fraction form
    15,936.57/23,917.14 = 8,547.21/x
  3. Step 3: Cross multiply
    15,936.57x = 23,917.14 × 8,547.21
  4. Step 4: Simplify right side
    15,936.57x = 204,424,818.18
  5. Step 5: Solve for x
    x = 204,424,818.18/15,936.57
  6. Step 6: Final answer
    x = 12,827.40

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