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Finding the Fourth Proportional to 12,008.20, 16,574.02 and 7,809.16

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Solution

The fourth proportional to 12,008.20, 16,574.02 and 7,809.16 is: 10,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.20 : 16,574.02 = 7,809.16 : x
  2. Step 2: Convert to fraction form
    12,008.20/16,574.02 = 7,809.16/x
  3. Step 3: Cross multiply
    12,008.20x = 16,574.02 × 7,809.16
  4. Step 4: Simplify right side
    12,008.20x = 129,429,174.02
  5. Step 5: Solve for x
    x = 129,429,174.02/12,008.20
  6. Step 6: Final answer
    x = 10,778.40

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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.