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Finding the Fourth Proportional to 19,783.20, 29,670 and 6,632.16

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Solution

The fourth proportional to 19,783.20, 29,670 and 6,632.16 is: 9,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.20 : 29,670 = 6,632.16 : x
  2. Step 2: Convert to fraction form
    19,783.20/29,670 = 6,632.16/x
  3. Step 3: Cross multiply
    19,783.20x = 29,670 × 6,632.16
  4. Step 4: Simplify right side
    19,783.20x = 196,776,187.20
  5. Step 5: Solve for x
    x = 196,776,187.20/19,783.20
  6. Step 6: Final answer
    x = 9,946.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.