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Finding the Fourth Proportional to 16,509.42, 22,783.28 and 9,435.69

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Solution

The fourth proportional to 16,509.42, 22,783.28 and 9,435.69 is: 13,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.42 : 22,783.28 = 9,435.69 : x
  2. Step 2: Convert to fraction form
    16,509.42/22,783.28 = 9,435.69/x
  3. Step 3: Cross multiply
    16,509.42x = 22,783.28 × 9,435.69
  4. Step 4: Simplify right side
    16,509.42x = 214,975,920.08
  5. Step 5: Solve for x
    x = 214,975,920.08/16,509.42
  6. Step 6: Final answer
    x = 13,021.41

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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.