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Finding the Fourth Proportional to 15,877.34, 23,817.54 and 5,884.72

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Solution

The fourth proportional to 15,877.34, 23,817.54 and 5,884.72 is: 8,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.34 : 23,817.54 = 5,884.72 : x
  2. Step 2: Convert to fraction form
    15,877.34/23,817.54 = 5,884.72/x
  3. Step 3: Cross multiply
    15,877.34x = 23,817.54 × 5,884.72
  4. Step 4: Simplify right side
    15,877.34x = 140,159,553.99
  5. Step 5: Solve for x
    x = 140,159,553.99/15,877.34
  6. Step 6: Final answer
    x = 8,827.65

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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.