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Finding the Fourth Proportional to 22,903.50, 31,606.83 and 12,967.50

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Solution

The fourth proportional to 22,903.50, 31,606.83 and 12,967.50 is: 17,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.50 : 31,606.83 = 12,967.50 : x
  2. Step 2: Convert to fraction form
    22,903.50/31,606.83 = 12,967.50/x
  3. Step 3: Cross multiply
    22,903.50x = 31,606.83 × 12,967.50
  4. Step 4: Simplify right side
    22,903.50x = 409,861,568.03
  5. Step 5: Solve for x
    x = 409,861,568.03/22,903.50
  6. Step 6: Final answer
    x = 17,895.15

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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.