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Finding the Fourth Proportional to 14,864.50, 20,513.65 and 8,895.02

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Solution

The fourth proportional to 14,864.50, 20,513.65 and 8,895.02 is: 12,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.50 : 20,513.65 = 8,895.02 : x
  2. Step 2: Convert to fraction form
    14,864.50/20,513.65 = 8,895.02/x
  3. Step 3: Cross multiply
    14,864.50x = 20,513.65 × 8,895.02
  4. Step 4: Simplify right side
    14,864.50x = 182,469,327.02
  5. Step 5: Solve for x
    x = 182,469,327.02/14,864.50
  6. Step 6: Final answer
    x = 12,275.51

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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.