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Finding the Fourth Proportional to 22,157.74, 30,582.93 and 12,731.77

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Solution

The fourth proportional to 22,157.74, 30,582.93 and 12,731.77 is: 17,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.74 : 30,582.93 = 12,731.77 : x
  2. Step 2: Convert to fraction form
    22,157.74/30,582.93 = 12,731.77/x
  3. Step 3: Cross multiply
    22,157.74x = 30,582.93 × 12,731.77
  4. Step 4: Simplify right side
    22,157.74x = 389,374,830.69
  5. Step 5: Solve for x
    x = 389,374,830.69/22,157.74
  6. Step 6: Final answer
    x = 17,572.86

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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.