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Finding the Fourth Proportional to 23,390.68, 32,278.19 and 12,780.68

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Solution

The fourth proportional to 23,390.68, 32,278.19 and 12,780.68 is: 17,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,390.68 : 32,278.19 = 12,780.68 : x
  2. Step 2: Convert to fraction form
    23,390.68/32,278.19 = 12,780.68/x
  3. Step 3: Cross multiply
    23,390.68x = 32,278.19 × 12,780.68
  4. Step 4: Simplify right side
    23,390.68x = 412,537,217.37
  5. Step 5: Solve for x
    x = 412,537,217.37/23,390.68
  6. Step 6: Final answer
    x = 17,636.82

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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.