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Finding the Fourth Proportional to 16,498.83, 22,768.10 and 9,328.63

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Solution

The fourth proportional to 16,498.83, 22,768.10 and 9,328.63 is: 12,873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.83 : 22,768.10 = 9,328.63 : x
  2. Step 2: Convert to fraction form
    16,498.83/22,768.10 = 9,328.63/x
  3. Step 3: Cross multiply
    16,498.83x = 22,768.10 × 9,328.63
  4. Step 4: Simplify right side
    16,498.83x = 212,395,066.86
  5. Step 5: Solve for x
    x = 212,395,066.86/16,498.83
  6. Step 6: Final answer
    x = 12,873.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.