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Finding the Fourth Proportional to 12,809.52, 19,202.38 and 6,555.74

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Solution

The fourth proportional to 12,809.52, 19,202.38 and 6,555.74 is: 9,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.52 : 19,202.38 = 6,555.74 : x
  2. Step 2: Convert to fraction form
    12,809.52/19,202.38 = 6,555.74/x
  3. Step 3: Cross multiply
    12,809.52x = 19,202.38 × 6,555.74
  4. Step 4: Simplify right side
    12,809.52x = 125,885,698.26
  5. Step 5: Solve for x
    x = 125,885,698.26/12,809.52
  6. Step 6: Final answer
    x = 9,827.51

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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.