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Finding the Fourth Proportional to 16,498.95, 22,771.86 and 9,788.30

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Solution

The fourth proportional to 16,498.95, 22,771.86 and 9,788.30 is: 13,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.95 : 22,771.86 = 9,788.30 : x
  2. Step 2: Convert to fraction form
    16,498.95/22,771.86 = 9,788.30/x
  3. Step 3: Cross multiply
    16,498.95x = 22,771.86 × 9,788.30
  4. Step 4: Simplify right side
    16,498.95x = 222,897,797.24
  5. Step 5: Solve for x
    x = 222,897,797.24/16,498.95
  6. Step 6: Final answer
    x = 13,509.82

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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.