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Finding the Fourth Proportional to 22,580.67, 31,161.31 and 12,509.74

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Solution

The fourth proportional to 22,580.67, 31,161.31 and 12,509.74 is: 17,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.67 : 31,161.31 = 12,509.74 : x
  2. Step 2: Convert to fraction form
    22,580.67/31,161.31 = 12,509.74/x
  3. Step 3: Cross multiply
    22,580.67x = 31,161.31 × 12,509.74
  4. Step 4: Simplify right side
    22,580.67x = 389,819,893.84
  5. Step 5: Solve for x
    x = 389,819,893.84/22,580.67
  6. Step 6: Final answer
    x = 17,263.43

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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.