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Finding the Fourth Proportional to 22,580.86, 31,160.34 and 12,508.50

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Solution

The fourth proportional to 22,580.86, 31,160.34 and 12,508.50 is: 17,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.86 : 31,160.34 = 12,508.50 : x
  2. Step 2: Convert to fraction form
    22,580.86/31,160.34 = 12,508.50/x
  3. Step 3: Cross multiply
    22,580.86x = 31,160.34 × 12,508.50
  4. Step 4: Simplify right side
    22,580.86x = 389,769,112.89
  5. Step 5: Solve for x
    x = 389,769,112.89/22,580.86
  6. Step 6: Final answer
    x = 17,261.04

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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.