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Finding the Fourth Proportional to 16,509.07, 22,775.14 and 9,794.98

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Solution

The fourth proportional to 16,509.07, 22,775.14 and 9,794.98 is: 13,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.07 : 22,775.14 = 9,794.98 : x
  2. Step 2: Convert to fraction form
    16,509.07/22,775.14 = 9,794.98/x
  3. Step 3: Cross multiply
    16,509.07x = 22,775.14 × 9,794.98
  4. Step 4: Simplify right side
    16,509.07x = 223,082,040.80
  5. Step 5: Solve for x
    x = 223,082,040.80/16,509.07
  6. Step 6: Final answer
    x = 13,512.70

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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.