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Finding the Fourth Proportional to 22,548.86, 31,129.94 and 13,598.63

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Solution

The fourth proportional to 22,548.86, 31,129.94 and 13,598.63 is: 18,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.86 : 31,129.94 = 13,598.63 : x
  2. Step 2: Convert to fraction form
    22,548.86/31,129.94 = 13,598.63/x
  3. Step 3: Cross multiply
    22,548.86x = 31,129.94 × 13,598.63
  4. Step 4: Simplify right side
    22,548.86x = 423,324,535.98
  5. Step 5: Solve for x
    x = 423,324,535.98/22,548.86
  6. Step 6: Final answer
    x = 18,773.66

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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.