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Finding the Fourth Proportional to 22,652.69, 31,259.65 and 12,581.78

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Solution

The fourth proportional to 22,652.69, 31,259.65 and 12,581.78 is: 17,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.69 : 31,259.65 = 12,581.78 : x
  2. Step 2: Convert to fraction form
    22,652.69/31,259.65 = 12,581.78/x
  3. Step 3: Cross multiply
    22,652.69x = 31,259.65 × 12,581.78
  4. Step 4: Simplify right side
    22,652.69x = 393,302,039.18
  5. Step 5: Solve for x
    x = 393,302,039.18/22,652.69
  6. Step 6: Final answer
    x = 17,362.27

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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.