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Finding the Fourth Proportional to 22,506.36, 31,051.20 and 14,558.64

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Solution

The fourth proportional to 22,506.36, 31,051.20 and 14,558.64 is: 20,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.36 : 31,051.20 = 14,558.64 : x
  2. Step 2: Convert to fraction form
    22,506.36/31,051.20 = 14,558.64/x
  3. Step 3: Cross multiply
    22,506.36x = 31,051.20 × 14,558.64
  4. Step 4: Simplify right side
    22,506.36x = 452,063,242.37
  5. Step 5: Solve for x
    x = 452,063,242.37/22,506.36
  6. Step 6: Final answer
    x = 20,086.02

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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.