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Finding the Fourth Proportional to 12,653.68, 18,962.05 and 8,953.90

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Solution

The fourth proportional to 12,653.68, 18,962.05 and 8,953.90 is: 13,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.68 : 18,962.05 = 8,953.90 : x
  2. Step 2: Convert to fraction form
    12,653.68/18,962.05 = 8,953.90/x
  3. Step 3: Cross multiply
    12,653.68x = 18,962.05 × 8,953.90
  4. Step 4: Simplify right side
    12,653.68x = 169,784,299.50
  5. Step 5: Solve for x
    x = 169,784,299.50/12,653.68
  6. Step 6: Final answer
    x = 13,417.78

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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.