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Finding the Fourth Proportional to 22,720.50, 31,354.29 and 12,784.50

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Solution

The fourth proportional to 22,720.50, 31,354.29 and 12,784.50 is: 17,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.50 : 31,354.29 = 12,784.50 : x
  2. Step 2: Convert to fraction form
    22,720.50/31,354.29 = 12,784.50/x
  3. Step 3: Cross multiply
    22,720.50x = 31,354.29 × 12,784.50
  4. Step 4: Simplify right side
    22,720.50x = 400,848,920.51
  5. Step 5: Solve for x
    x = 400,848,920.51/22,720.50
  6. Step 6: Final answer
    x = 17,642.61

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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.