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Finding the Fourth Proportional to 23,830.34, 35,713.69 and 12,562.70

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Solution

The fourth proportional to 23,830.34, 35,713.69 and 12,562.70 is: 18,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.34 : 35,713.69 = 12,562.70 : x
  2. Step 2: Convert to fraction form
    23,830.34/35,713.69 = 12,562.70/x
  3. Step 3: Cross multiply
    23,830.34x = 35,713.69 × 12,562.70
  4. Step 4: Simplify right side
    23,830.34x = 448,660,431.24
  5. Step 5: Solve for x
    x = 448,660,431.24/23,830.34
  6. Step 6: Final answer
    x = 18,827.28

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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.