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Finding the Fourth Proportional to 22,834.49, 31,511.48 and 12,762.93

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Solution

The fourth proportional to 22,834.49, 31,511.48 and 12,762.93 is: 17,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834.49 : 31,511.48 = 12,762.93 : x
  2. Step 2: Convert to fraction form
    22,834.49/31,511.48 = 12,762.93/x
  3. Step 3: Cross multiply
    22,834.49x = 31,511.48 × 12,762.93
  4. Step 4: Simplify right side
    22,834.49x = 402,178,813.44
  5. Step 5: Solve for x
    x = 402,178,813.44/22,834.49
  6. Step 6: Final answer
    x = 17,612.78

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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.