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Finding the Fourth Proportional to 24,900.68, 34,364.22 and 13,722.68

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Solution

The fourth proportional to 24,900.68, 34,364.22 and 13,722.68 is: 18,938.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,900.68 : 34,364.22 = 13,722.68 : x
  2. Step 2: Convert to fraction form
    24,900.68/34,364.22 = 13,722.68/x
  3. Step 3: Cross multiply
    24,900.68x = 34,364.22 × 13,722.68
  4. Step 4: Simplify right side
    24,900.68x = 471,569,194.51
  5. Step 5: Solve for x
    x = 471,569,194.51/24,900.68
  6. Step 6: Final answer
    x = 18,938.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.