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Finding the Fourth Proportional to 15,967.12, 23,951.64 and 6,730

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Solution

The fourth proportional to 15,967.12, 23,951.64 and 6,730 is: 10,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.12 : 23,951.64 = 6,730 : x
  2. Step 2: Convert to fraction form
    15,967.12/23,951.64 = 6,730/x
  3. Step 3: Cross multiply
    15,967.12x = 23,951.64 × 6,730
  4. Step 4: Simplify right side
    15,967.12x = 161,194,537.20
  5. Step 5: Solve for x
    x = 161,194,537.20/15,967.12
  6. Step 6: Final answer
    x = 10,095.40

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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.