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Finding the Fourth Proportional to 15,835.29, 23,789.70 and 14,985

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Solution

The fourth proportional to 15,835.29, 23,789.70 and 14,985 is: 22,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.29 : 23,789.70 = 14,985 : x
  2. Step 2: Convert to fraction form
    15,835.29/23,789.70 = 14,985/x
  3. Step 3: Cross multiply
    15,835.29x = 23,789.70 × 14,985
  4. Step 4: Simplify right side
    15,835.29x = 356,488,654.50
  5. Step 5: Solve for x
    x = 356,488,654.50/15,835.29
  6. Step 6: Final answer
    x = 22,512.29

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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.