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Finding the Fourth Proportional to 23,782.62, 35,663.59 and 12,686.83

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Solution

The fourth proportional to 23,782.62, 35,663.59 and 12,686.83 is: 19,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.62 : 35,663.59 = 12,686.83 : x
  2. Step 2: Convert to fraction form
    23,782.62/35,663.59 = 12,686.83/x
  3. Step 3: Cross multiply
    23,782.62x = 35,663.59 × 12,686.83
  4. Step 4: Simplify right side
    23,782.62x = 452,457,903.52
  5. Step 5: Solve for x
    x = 452,457,903.52/23,782.62
  6. Step 6: Final answer
    x = 19,024.73

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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.