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Finding the Fourth Proportional to 23,051.02, 31,813.41 and 12,981.40

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Solution

The fourth proportional to 23,051.02, 31,813.41 and 12,981.40 is: 17,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.02 : 31,813.41 = 12,981.40 : x
  2. Step 2: Convert to fraction form
    23,051.02/31,813.41 = 12,981.40/x
  3. Step 3: Cross multiply
    23,051.02x = 31,813.41 × 12,981.40
  4. Step 4: Simplify right side
    23,051.02x = 412,982,600.57
  5. Step 5: Solve for x
    x = 412,982,600.57/23,051.02
  6. Step 6: Final answer
    x = 17,916.02

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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.