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Finding the Fourth Proportional to 15,584.48, 21,506.04 and 8,869.60

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Solution

The fourth proportional to 15,584.48, 21,506.04 and 8,869.60 is: 12,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.48 : 21,506.04 = 8,869.60 : x
  2. Step 2: Convert to fraction form
    15,584.48/21,506.04 = 8,869.60/x
  3. Step 3: Cross multiply
    15,584.48x = 21,506.04 × 8,869.60
  4. Step 4: Simplify right side
    15,584.48x = 190,749,972.38
  5. Step 5: Solve for x
    x = 190,749,972.38/15,584.48
  6. Step 6: Final answer
    x = 12,239.74

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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.