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Finding the Fourth Proportional to 14,783.84, 22,164 and 8,536.78

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Solution

The fourth proportional to 14,783.84, 22,164 and 8,536.78 is: 12,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.84 : 22,164 = 8,536.78 : x
  2. Step 2: Convert to fraction form
    14,783.84/22,164 = 8,536.78/x
  3. Step 3: Cross multiply
    14,783.84x = 22,164 × 8,536.78
  4. Step 4: Simplify right side
    14,783.84x = 189,209,191.92
  5. Step 5: Solve for x
    x = 189,209,191.92/14,783.84
  6. Step 6: Final answer
    x = 12,798.38

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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.