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Finding the Fourth Proportional to 22,776.96, 31,432.26 and 12,706.05

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Solution

The fourth proportional to 22,776.96, 31,432.26 and 12,706.05 is: 17,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.96 : 31,432.26 = 12,706.05 : x
  2. Step 2: Convert to fraction form
    22,776.96/31,432.26 = 12,706.05/x
  3. Step 3: Cross multiply
    22,776.96x = 31,432.26 × 12,706.05
  4. Step 4: Simplify right side
    22,776.96x = 399,379,867.17
  5. Step 5: Solve for x
    x = 399,379,867.17/22,776.96
  6. Step 6: Final answer
    x = 17,534.38

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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.