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Finding the Fourth Proportional to 22,464.50, 31,000.80 and 12,393.02

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Solution

The fourth proportional to 22,464.50, 31,000.80 and 12,393.02 is: 17,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.50 : 31,000.80 = 12,393.02 : x
  2. Step 2: Convert to fraction form
    22,464.50/31,000.80 = 12,393.02/x
  3. Step 3: Cross multiply
    22,464.50x = 31,000.80 × 12,393.02
  4. Step 4: Simplify right side
    22,464.50x = 384,193,514.55
  5. Step 5: Solve for x
    x = 384,193,514.55/22,464.50
  6. Step 6: Final answer
    x = 17,102.25

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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.