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Finding the Fourth Proportional to 22,544.50, 31,111.70 and 12,986.06

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Solution

The fourth proportional to 22,544.50, 31,111.70 and 12,986.06 is: 17,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.50 : 31,111.70 = 12,986.06 : x
  2. Step 2: Convert to fraction form
    22,544.50/31,111.70 = 12,986.06/x
  3. Step 3: Cross multiply
    22,544.50x = 31,111.70 × 12,986.06
  4. Step 4: Simplify right side
    22,544.50x = 404,018,402.90
  5. Step 5: Solve for x
    x = 404,018,402.90/22,544.50
  6. Step 6: Final answer
    x = 17,920.93

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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.