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Finding the Fourth Proportional to 22,751.86, 31,416.92 and 14,268.19

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Solution

The fourth proportional to 22,751.86, 31,416.92 and 14,268.19 is: 19,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.86 : 31,416.92 = 14,268.19 : x
  2. Step 2: Convert to fraction form
    22,751.86/31,416.92 = 14,268.19/x
  3. Step 3: Cross multiply
    22,751.86x = 31,416.92 × 14,268.19
  4. Step 4: Simplify right side
    22,751.86x = 448,262,583.77
  5. Step 5: Solve for x
    x = 448,262,583.77/22,751.86
  6. Step 6: Final answer
    x = 19,702.24

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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.