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Finding the Fourth Proportional to 16,002.46, 22,080.42 and 9,285.64

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Solution

The fourth proportional to 16,002.46, 22,080.42 and 9,285.64 is: 12,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.46 : 22,080.42 = 9,285.64 : x
  2. Step 2: Convert to fraction form
    16,002.46/22,080.42 = 9,285.64/x
  3. Step 3: Cross multiply
    16,002.46x = 22,080.42 × 9,285.64
  4. Step 4: Simplify right side
    16,002.46x = 205,030,831.17
  5. Step 5: Solve for x
    x = 205,030,831.17/16,002.46
  6. Step 6: Final answer
    x = 12,812.46

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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.