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Finding the Fourth Proportional to 22,779.36, 31,435.92 and 12,708

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Solution

The fourth proportional to 22,779.36, 31,435.92 and 12,708 is: 17,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,779.36 : 31,435.92 = 12,708 : x
  2. Step 2: Convert to fraction form
    22,779.36/31,435.92 = 12,708/x
  3. Step 3: Cross multiply
    22,779.36x = 31,435.92 × 12,708
  4. Step 4: Simplify right side
    22,779.36x = 399,487,671.36
  5. Step 5: Solve for x
    x = 399,487,671.36/22,779.36
  6. Step 6: Final answer
    x = 17,537.26

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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.