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Finding the Fourth Proportional to 16,076.16, 22,185.78 and 9,002.64

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Solution

The fourth proportional to 16,076.16, 22,185.78 and 9,002.64 is: 12,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.16 : 22,185.78 = 9,002.64 : x
  2. Step 2: Convert to fraction form
    16,076.16/22,185.78 = 9,002.64/x
  3. Step 3: Cross multiply
    16,076.16x = 22,185.78 × 9,002.64
  4. Step 4: Simplify right side
    16,076.16x = 199,730,590.46
  5. Step 5: Solve for x
    x = 199,730,590.46/16,076.16
  6. Step 6: Final answer
    x = 12,424.02

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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.