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Finding the Fourth Proportional to 22,782.83, 31,419.83 and 14,285.90

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Solution

The fourth proportional to 22,782.83, 31,419.83 and 14,285.90 is: 19,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.83 : 31,419.83 = 14,285.90 : x
  2. Step 2: Convert to fraction form
    22,782.83/31,419.83 = 14,285.90/x
  3. Step 3: Cross multiply
    22,782.83x = 31,419.83 × 14,285.90
  4. Step 4: Simplify right side
    22,782.83x = 448,860,663.66
  5. Step 5: Solve for x
    x = 448,860,663.66/22,782.83
  6. Step 6: Final answer
    x = 19,701.71

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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.