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Finding the Fourth Proportional to 16,275.78, 22,460.58 and 9,202.14

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Solution

The fourth proportional to 16,275.78, 22,460.58 and 9,202.14 is: 12,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.78 : 22,460.58 = 9,202.14 : x
  2. Step 2: Convert to fraction form
    16,275.78/22,460.58 = 9,202.14/x
  3. Step 3: Cross multiply
    16,275.78x = 22,460.58 × 9,202.14
  4. Step 4: Simplify right side
    16,275.78x = 206,685,401.64
  5. Step 5: Solve for x
    x = 206,685,401.64/16,275.78
  6. Step 6: Final answer
    x = 12,698.96

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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.