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Finding the Fourth Proportional to 12,335.12, 18,509.97 and 4,549.40

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Solution

The fourth proportional to 12,335.12, 18,509.97 and 4,549.40 is: 6,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.12 : 18,509.97 = 4,549.40 : x
  2. Step 2: Convert to fraction form
    12,335.12/18,509.97 = 4,549.40/x
  3. Step 3: Cross multiply
    12,335.12x = 18,509.97 × 4,549.40
  4. Step 4: Simplify right side
    12,335.12x = 84,209,164.97
  5. Step 5: Solve for x
    x = 84,209,164.97/12,335.12
  6. Step 6: Final answer
    x = 6,826.78

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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.