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Finding the Fourth Proportional to 23,053.34, 31,813.30 and 12,981.90

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Solution

The fourth proportional to 23,053.34, 31,813.30 and 12,981.90 is: 17,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.34 : 31,813.30 = 12,981.90 : x
  2. Step 2: Convert to fraction form
    23,053.34/31,813.30 = 12,981.90/x
  3. Step 3: Cross multiply
    23,053.34x = 31,813.30 × 12,981.90
  4. Step 4: Simplify right side
    23,053.34x = 412,997,014.36
  5. Step 5: Solve for x
    x = 412,997,014.36/23,053.34
  6. Step 6: Final answer
    x = 17,914.85

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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.