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Finding the Fourth Proportional to 22,776.76, 31,432.20 and 12,706.08

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Solution

The fourth proportional to 22,776.76, 31,432.20 and 12,706.08 is: 17,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.76 : 31,432.20 = 12,706.08 : x
  2. Step 2: Convert to fraction form
    22,776.76/31,432.20 = 12,706.08/x
  3. Step 3: Cross multiply
    22,776.76x = 31,432.20 × 12,706.08
  4. Step 4: Simplify right side
    22,776.76x = 399,380,047.78
  5. Step 5: Solve for x
    x = 399,380,047.78/22,776.76
  6. Step 6: Final answer
    x = 17,534.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.