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Finding the Fourth Proportional to 28,576.63, 39,434.53 and 15,829.76

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Solution

The fourth proportional to 28,576.63, 39,434.53 and 15,829.76 is: 21,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,576.63 : 39,434.53 = 15,829.76 : x
  2. Step 2: Convert to fraction form
    28,576.63/39,434.53 = 15,829.76/x
  3. Step 3: Cross multiply
    28,576.63x = 39,434.53 × 15,829.76
  4. Step 4: Simplify right side
    28,576.63x = 624,238,869.29
  5. Step 5: Solve for x
    x = 624,238,869.29/28,576.63
  6. Step 6: Final answer
    x = 21,844.39

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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.