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Finding the Fourth Proportional to 20,875.80, 31,313.70 and 12,133.20

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Solution

The fourth proportional to 20,875.80, 31,313.70 and 12,133.20 is: 18,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.80 : 31,313.70 = 12,133.20 : x
  2. Step 2: Convert to fraction form
    20,875.80/31,313.70 = 12,133.20/x
  3. Step 3: Cross multiply
    20,875.80x = 31,313.70 × 12,133.20
  4. Step 4: Simplify right side
    20,875.80x = 379,935,384.84
  5. Step 5: Solve for x
    x = 379,935,384.84/20,875.80
  6. Step 6: Final answer
    x = 18,199.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.