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Finding the Fourth Proportional to 22,086.04, 30,478.71 and 12,654.64

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Solution

The fourth proportional to 22,086.04, 30,478.71 and 12,654.64 is: 17,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,086.04 : 30,478.71 = 12,654.64 : x
  2. Step 2: Convert to fraction form
    22,086.04/30,478.71 = 12,654.64/x
  3. Step 3: Cross multiply
    22,086.04x = 30,478.71 × 12,654.64
  4. Step 4: Simplify right side
    22,086.04x = 385,697,102.71
  5. Step 5: Solve for x
    x = 385,697,102.71/22,086.04
  6. Step 6: Final answer
    x = 17,463.39

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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.