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Finding the Fourth Proportional to 22,977.50, 31,708.16 and 14,039.96

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Solution

The fourth proportional to 22,977.50, 31,708.16 and 14,039.96 is: 19,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.50 : 31,708.16 = 14,039.96 : x
  2. Step 2: Convert to fraction form
    22,977.50/31,708.16 = 14,039.96/x
  3. Step 3: Cross multiply
    22,977.50x = 31,708.16 × 14,039.96
  4. Step 4: Simplify right side
    22,977.50x = 445,181,298.07
  5. Step 5: Solve for x
    x = 445,181,298.07/22,977.50
  6. Step 6: Final answer
    x = 19,374.66

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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.