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Finding the Fourth Proportional to 24,260.16, 36,390.24 and 6,730

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Solution

The fourth proportional to 24,260.16, 36,390.24 and 6,730 is: 10,095

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260.16 : 36,390.24 = 6,730 : x
  2. Step 2: Convert to fraction form
    24,260.16/36,390.24 = 6,730/x
  3. Step 3: Cross multiply
    24,260.16x = 36,390.24 × 6,730
  4. Step 4: Simplify right side
    24,260.16x = 244,906,315.20
  5. Step 5: Solve for x
    x = 244,906,315.20/24,260.16
  6. Step 6: Final answer
    x = 10,095

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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.