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Finding the Fourth Proportional to 14,988.42, 22,476.78 and 5,623.31

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Solution

The fourth proportional to 14,988.42, 22,476.78 and 5,623.31 is: 8,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,988.42 : 22,476.78 = 5,623.31 : x
  2. Step 2: Convert to fraction form
    14,988.42/22,476.78 = 5,623.31/x
  3. Step 3: Cross multiply
    14,988.42x = 22,476.78 × 5,623.31
  4. Step 4: Simplify right side
    14,988.42x = 126,393,957.93
  5. Step 5: Solve for x
    x = 126,393,957.93/14,988.42
  6. Step 6: Final answer
    x = 8,432.77

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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.