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Finding the Fourth Proportional to 14,826.50, 20,460.65 and 8,366.19

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Solution

The fourth proportional to 14,826.50, 20,460.65 and 8,366.19 is: 11,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,826.50 : 20,460.65 = 8,366.19 : x
  2. Step 2: Convert to fraction form
    14,826.50/20,460.65 = 8,366.19/x
  3. Step 3: Cross multiply
    14,826.50x = 20,460.65 × 8,366.19
  4. Step 4: Simplify right side
    14,826.50x = 171,177,643.59
  5. Step 5: Solve for x
    x = 171,177,643.59/14,826.50
  6. Step 6: Final answer
    x = 11,545.39

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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.