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Finding the Fourth Proportional to 22,496.94, 31,025.70 and 14,530.77

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Solution

The fourth proportional to 22,496.94, 31,025.70 and 14,530.77 is: 20,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.94 : 31,025.70 = 14,530.77 : x
  2. Step 2: Convert to fraction form
    22,496.94/31,025.70 = 14,530.77/x
  3. Step 3: Cross multiply
    22,496.94x = 31,025.70 × 14,530.77
  4. Step 4: Simplify right side
    22,496.94x = 450,827,310.79
  5. Step 5: Solve for x
    x = 450,827,310.79/22,496.94
  6. Step 6: Final answer
    x = 20,039.49

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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.