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Finding the Fourth Proportional to 24,665.22, 36,978.58 and 16,746.86

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Solution

The fourth proportional to 24,665.22, 36,978.58 and 16,746.86 is: 25,107.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665.22 : 36,978.58 = 16,746.86 : x
  2. Step 2: Convert to fraction form
    24,665.22/36,978.58 = 16,746.86/x
  3. Step 3: Cross multiply
    24,665.22x = 36,978.58 × 16,746.86
  4. Step 4: Simplify right side
    24,665.22x = 619,275,102.26
  5. Step 5: Solve for x
    x = 619,275,102.26/24,665.22
  6. Step 6: Final answer
    x = 25,107.22

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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.