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Finding the Fourth Proportional to 12,641.79, 18,947.92 and 9,511.74

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Solution

The fourth proportional to 12,641.79, 18,947.92 and 9,511.74 is: 14,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.79 : 18,947.92 = 9,511.74 : x
  2. Step 2: Convert to fraction form
    12,641.79/18,947.92 = 9,511.74/x
  3. Step 3: Cross multiply
    12,641.79x = 18,947.92 × 9,511.74
  4. Step 4: Simplify right side
    12,641.79x = 180,227,688.58
  5. Step 5: Solve for x
    x = 180,227,688.58/12,641.79
  6. Step 6: Final answer
    x = 14,256.50

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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.