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Finding the Fourth Proportional to 13,124.88, 19,670.68 and 12,986

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Solution

The fourth proportional to 13,124.88, 19,670.68 and 12,986 is: 19,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.88 : 19,670.68 = 12,986 : x
  2. Step 2: Convert to fraction form
    13,124.88/19,670.68 = 12,986/x
  3. Step 3: Cross multiply
    13,124.88x = 19,670.68 × 12,986
  4. Step 4: Simplify right side
    13,124.88x = 255,443,450.48
  5. Step 5: Solve for x
    x = 255,443,450.48/13,124.88
  6. Step 6: Final answer
    x = 19,462.54

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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.