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Finding the Fourth Proportional to 24,205.40, 36,309.91 and 6,675.06

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Solution

The fourth proportional to 24,205.40, 36,309.91 and 6,675.06 is: 10,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.40 : 36,309.91 = 6,675.06 : x
  2. Step 2: Convert to fraction form
    24,205.40/36,309.91 = 6,675.06/x
  3. Step 3: Cross multiply
    24,205.40x = 36,309.91 × 6,675.06
  4. Step 4: Simplify right side
    24,205.40x = 242,370,827.84
  5. Step 5: Solve for x
    x = 242,370,827.84/24,205.40
  6. Step 6: Final answer
    x = 10,013.09

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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.