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Finding the Fourth Proportional to 16,483.64, 22,745.93 and 9,768.18

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Solution

The fourth proportional to 16,483.64, 22,745.93 and 9,768.18 is: 13,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.64 : 22,745.93 = 9,768.18 : x
  2. Step 2: Convert to fraction form
    16,483.64/22,745.93 = 9,768.18/x
  3. Step 3: Cross multiply
    16,483.64x = 22,745.93 × 9,768.18
  4. Step 4: Simplify right side
    16,483.64x = 222,186,289.67
  5. Step 5: Solve for x
    x = 222,186,289.67/16,483.64
  6. Step 6: Final answer
    x = 13,479.20

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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.