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Finding the Fourth Proportional to 14,797.63, 20,421.33 and 8,510

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Solution

The fourth proportional to 14,797.63, 20,421.33 and 8,510 is: 11,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.63 : 20,421.33 = 8,510 : x
  2. Step 2: Convert to fraction form
    14,797.63/20,421.33 = 8,510/x
  3. Step 3: Cross multiply
    14,797.63x = 20,421.33 × 8,510
  4. Step 4: Simplify right side
    14,797.63x = 173,785,518.30
  5. Step 5: Solve for x
    x = 173,785,518.30/14,797.63
  6. Step 6: Final answer
    x = 11,744.15

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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.