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Finding the Fourth Proportional to 22,682.40, 31,303.84 and 13,732.08

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Solution

The fourth proportional to 22,682.40, 31,303.84 and 13,732.08 is: 18,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.40 : 31,303.84 = 13,732.08 : x
  2. Step 2: Convert to fraction form
    22,682.40/31,303.84 = 13,732.08/x
  3. Step 3: Cross multiply
    22,682.40x = 31,303.84 × 13,732.08
  4. Step 4: Simplify right side
    22,682.40x = 429,866,835.19
  5. Step 5: Solve for x
    x = 429,866,835.19/22,682.40
  6. Step 6: Final answer
    x = 18,951.56

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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.