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Finding the Fourth Proportional to 12,782.96, 19,126.28 and 11,488

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Solution

The fourth proportional to 12,782.96, 19,126.28 and 11,488 is: 17,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.96 : 19,126.28 = 11,488 : x
  2. Step 2: Convert to fraction form
    12,782.96/19,126.28 = 11,488/x
  3. Step 3: Cross multiply
    12,782.96x = 19,126.28 × 11,488
  4. Step 4: Simplify right side
    12,782.96x = 219,722,704.64
  5. Step 5: Solve for x
    x = 219,722,704.64/12,782.96
  6. Step 6: Final answer
    x = 17,188.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.