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Finding the Fourth Proportional to 12,584, 18,890.56 and 9,813.76

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Solution

The fourth proportional to 12,584, 18,890.56 and 9,813.76 is: 14,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584 : 18,890.56 = 9,813.76 : x
  2. Step 2: Convert to fraction form
    12,584/18,890.56 = 9,813.76/x
  3. Step 3: Cross multiply
    12,584x = 18,890.56 × 9,813.76
  4. Step 4: Simplify right side
    12,584x = 185,387,422.11
  5. Step 5: Solve for x
    x = 185,387,422.11/12,584
  6. Step 6: Final answer
    x = 14,731.99

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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.