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Finding the Fourth Proportional to 22,709.64, 31,339.98 and 13,758.78

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Solution

The fourth proportional to 22,709.64, 31,339.98 and 13,758.78 is: 18,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.64 : 31,339.98 = 13,758.78 : x
  2. Step 2: Convert to fraction form
    22,709.64/31,339.98 = 13,758.78/x
  3. Step 3: Cross multiply
    22,709.64x = 31,339.98 × 13,758.78
  4. Step 4: Simplify right side
    22,709.64x = 431,199,890.02
  5. Step 5: Solve for x
    x = 431,199,890.02/22,709.64
  6. Step 6: Final answer
    x = 18,987.53

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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.