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Finding the Fourth Proportional to 16,050.15, 22,154.72 and 9,680.31

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Solution

The fourth proportional to 16,050.15, 22,154.72 and 9,680.31 is: 13,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,050.15 : 22,154.72 = 9,680.31 : x
  2. Step 2: Convert to fraction form
    16,050.15/22,154.72 = 9,680.31/x
  3. Step 3: Cross multiply
    16,050.15x = 22,154.72 × 9,680.31
  4. Step 4: Simplify right side
    16,050.15x = 214,464,509.16
  5. Step 5: Solve for x
    x = 214,464,509.16/16,050.15
  6. Step 6: Final answer
    x = 13,362.15

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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.