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Finding the Fourth Proportional to 23,053.32, 31,812.12 and 12,983.40

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Solution

The fourth proportional to 23,053.32, 31,812.12 and 12,983.40 is: 17,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,053.32 : 31,812.12 = 12,983.40 : x
  2. Step 2: Convert to fraction form
    23,053.32/31,812.12 = 12,983.40/x
  3. Step 3: Cross multiply
    23,053.32x = 31,812.12 × 12,983.40
  4. Step 4: Simplify right side
    23,053.32x = 413,029,478.81
  5. Step 5: Solve for x
    x = 413,029,478.81/23,053.32
  6. Step 6: Final answer
    x = 17,916.27

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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.