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Finding the Fourth Proportional to 15,938.18, 23,910 and 4,845.98

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Solution

The fourth proportional to 15,938.18, 23,910 and 4,845.98 is: 7,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938.18 : 23,910 = 4,845.98 : x
  2. Step 2: Convert to fraction form
    15,938.18/23,910 = 4,845.98/x
  3. Step 3: Cross multiply
    15,938.18x = 23,910 × 4,845.98
  4. Step 4: Simplify right side
    15,938.18x = 115,867,381.80
  5. Step 5: Solve for x
    x = 115,867,381.80/15,938.18
  6. Step 6: Final answer
    x = 7,269.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.