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Finding the Fourth Proportional to 23,052.50, 31,812.14 and 12,981.93

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Solution

The fourth proportional to 23,052.50, 31,812.14 and 12,981.93 is: 17,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.50 : 31,812.14 = 12,981.93 : x
  2. Step 2: Convert to fraction form
    23,052.50/31,812.14 = 12,981.93/x
  3. Step 3: Cross multiply
    23,052.50x = 31,812.14 × 12,981.93
  4. Step 4: Simplify right side
    23,052.50x = 412,982,909.72
  5. Step 5: Solve for x
    x = 412,982,909.72/23,052.50
  6. Step 6: Final answer
    x = 17,914.89

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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.