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Finding the Fourth Proportional to 22,891.50, 31,590.76 and 12,955.50

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Solution

The fourth proportional to 22,891.50, 31,590.76 and 12,955.50 is: 17,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891.50 : 31,590.76 = 12,955.50 : x
  2. Step 2: Convert to fraction form
    22,891.50/31,590.76 = 12,955.50/x
  3. Step 3: Cross multiply
    22,891.50x = 31,590.76 × 12,955.50
  4. Step 4: Simplify right side
    22,891.50x = 409,274,091.18
  5. Step 5: Solve for x
    x = 409,274,091.18/22,891.50
  6. Step 6: Final answer
    x = 17,878.87

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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.