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Finding the Fourth Proportional to 22,558.50, 31,130.73 and 12,622.50

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Solution

The fourth proportional to 22,558.50, 31,130.73 and 12,622.50 is: 17,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.50 : 31,130.73 = 12,622.50 : x
  2. Step 2: Convert to fraction form
    22,558.50/31,130.73 = 12,622.50/x
  3. Step 3: Cross multiply
    22,558.50x = 31,130.73 × 12,622.50
  4. Step 4: Simplify right side
    22,558.50x = 392,947,639.43
  5. Step 5: Solve for x
    x = 392,947,639.43/22,558.50
  6. Step 6: Final answer
    x = 17,419.05

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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.