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Finding the Fourth Proportional to 15,775.34, 21,769.70 and 8,702.42

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Solution

The fourth proportional to 15,775.34, 21,769.70 and 8,702.42 is: 12,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.34 : 21,769.70 = 8,702.42 : x
  2. Step 2: Convert to fraction form
    15,775.34/21,769.70 = 8,702.42/x
  3. Step 3: Cross multiply
    15,775.34x = 21,769.70 × 8,702.42
  4. Step 4: Simplify right side
    15,775.34x = 189,449,072.67
  5. Step 5: Solve for x
    x = 189,449,072.67/15,775.34
  6. Step 6: Final answer
    x = 12,009.19

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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.