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Finding the Fourth Proportional to 26,078.56, 39,123.60 and 12,220

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Solution

The fourth proportional to 26,078.56, 39,123.60 and 12,220 is: 18,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078.56 : 39,123.60 = 12,220 : x
  2. Step 2: Convert to fraction form
    26,078.56/39,123.60 = 12,220/x
  3. Step 3: Cross multiply
    26,078.56x = 39,123.60 × 12,220
  4. Step 4: Simplify right side
    26,078.56x = 478,090,392
  5. Step 5: Solve for x
    x = 478,090,392/26,078.56
  6. Step 6: Final answer
    x = 18,332.70

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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.