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Finding the Fourth Proportional to 22,746.29, 31,404.64 and 21,334.77

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Solution

The fourth proportional to 22,746.29, 31,404.64 and 21,334.77 is: 29,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.29 : 31,404.64 = 21,334.77 : x
  2. Step 2: Convert to fraction form
    22,746.29/31,404.64 = 21,334.77/x
  3. Step 3: Cross multiply
    22,746.29x = 31,404.64 × 21,334.77
  4. Step 4: Simplify right side
    22,746.29x = 670,010,771.33
  5. Step 5: Solve for x
    x = 670,010,771.33/22,746.29
  6. Step 6: Final answer
    x = 29,455.83

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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.