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Finding the Fourth Proportional to 22,544.48, 31,111.06 and 12,472.68

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Solution

The fourth proportional to 22,544.48, 31,111.06 and 12,472.68 is: 17,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544.48 : 31,111.06 = 12,472.68 : x
  2. Step 2: Convert to fraction form
    22,544.48/31,111.06 = 12,472.68/x
  3. Step 3: Cross multiply
    22,544.48x = 31,111.06 × 12,472.68
  4. Step 4: Simplify right side
    22,544.48x = 388,038,295.84
  5. Step 5: Solve for x
    x = 388,038,295.84/22,544.48
  6. Step 6: Final answer
    x = 17,212.12

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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.